Reinhold Blümel
List of Publications

June 13, 2006

  1. R. Blümel, Analytical solution of the compressed, one-dimensional delta atom via quadratures and exact, absolutely convergent periodic-orbit expansions, J. Phys. A: Math. Gen. 39, 8257--8282 (2006). PDF

  2. R. Blümel and I. Garrick-Bethell, Quantum mechanics of the dynamic Kingdon trap, Phys. Rev. A 73, 023411 (2006), pp. 1--5. PDF

  3. R. Blümel, Comment on 'Quantum chaos in elementary quantum mechanics' [Eur. J. Phys. 26 (2005) 423--439] by Yu Dabaghian and R. Jensen, Eur. J. Phys. 27, L1--L4 (2006). PDF

  4. A. S. Bhullar, R. Blümel, and P. M. Koch, Ghost orbit spectroscopy, Phys. Rev. E 73, 016211 (2006), pp. 1--18. PDF

  5. C. Vaa, P. M. Koch, and R. Blümel, Weyl formula: Experimental test of ray-splitting and corner corrections, Phys. Rev. E 72, 056211 (2005), pp. 1--31. PDF

  6. R. Blümel, Analytical solution of the finite quantum square-well problem, J. Phys. A: Math. Gen. 38, L673--L678 (2005). PDF

  7. A. S. Bhullar, R. Blümel, and P. M. Koch, Ray splitting with ghost orbits: explicit, analytical and exact solution for spectra of scaling step potentials with tunneling, J. Phys. A: Math. Gen. 38, L563--L569 (2005). PDF

  8. R. Blümel, Spectra of Stick Molecules, Bull. Am. Phys. Soc. 50(3), 26 (2005). PDF

  9. Th. Clausen and R. Blümel, Multiphoton classification of prethreshold structures in measured microwave ionization curves of hydrogen Rydberg atoms, Phys. Rev. A 70, 053411 (2004), pp. 1--9. PDF

  10. Yu. Dabaghian and R. Blümel, Explicit spectral formulas for scaling quantum graphs, Phys. Rev. E 70, 046206 (2004), pp. 1--16. PDF

  11. I. Garrick-Bethell, Th. Clausen, and R. Blümel, Nonlinear Dynamics with Trapped Charged Particles, Bull. Am. Phys. Soc. 49(3), 130--131 (2004). PDF

  12. I. Garrick-Bethell, Th. Clausen, and R. Blümel, Universal instabilities of radio-frequency traps, Phys. Rev. E 69, 056222 (2004), pp. 1--15. PDF

  13. R. Blümel, Ray-splitting correction to the Weyl formula: Experiment versus theory, Bull. Am. Phys. Soc. 49, 359 (2004). PDF

  14. Yu. Dabaghian and R. Blümel, Explicit analytical solution for scaling quantum graphs, Phys. Rev. E 68, 055201(R) (2003), pp. 1--4. PDF

  15. I. Garrick-Bethell and R. Blümel, Unexpected instabilities in the dynamic Kingdon trap, Phys. Rev. A 68, 031404(R) (2003), pp. 1--4. PDF

  16. Yu. Dabaghian and R. Blümel, Solution of scaling quantum networks, Pis'ma v. ZhETF 77, 629--632 (2003); JETP Lett. 77, 530--533 (2003). PDF

  17. C. Vaa, P. M. Koch and R. Blümel, Ray-splitting correction to the Weyl formula: Experiment versus theory, Phys. Rev. Lett. 90, 194102 (2003), pp. 1--4. PDF

  18. Yu. Dabaghian, R. V. Jensen and R. Blümel, Integrability in 1D quantum chaos, in Proceedings of the Fourth International Conference on Dynamical Systemes and Differential Equations, 206--212 (2003).

  19. V. I. Savichev and R. Blümel, Squeezing close to the stability boundaries of the Paul trap, Phys. Lett. A 309, 211--214 (2003). PDF

  20. T. Vorrath and R. Blümel, Electronic structure of three-dimensional quantum dots, Eur. Phys. J. B 32, 227--235 (2003). PDF

  21. V. I. Savichev and R. Blümel, Quantum load-matching, Europhys. Lett. 61, 1--7 (2003).

  22. Yu. Dabaghian, R. V. Jensen and R. Blümel, Spectra of regular quantum graphs, J. Exp. Theor. Phys. 94, 1201--1215 (2002); Zh. Exp. Teor. Fiz. 121, 1399-1414 (2002).

  23. T. Vorrath and R. Blümel, Electronic structure of three-dimensional quantum dots, Verhandl. DPG (VI) 37, 1/183 (2002).

  24. J. D. Wright, F. St\"ahle, H. Flores-Rueda, R. Blümel, and T. J. Morgan, Classically Scaled Quantum Calculations for Direct Comparison with Experimental Scaled Energy Spectra, Bull. Am. Phys. Soc. 47(3), 109 (2002).

  25. C. Vaa, P. M. Koch and R. Blümel, Measurement of the ray-splitting correction to the Weyl formula, Bull. Am. Phys. Soc. 47(3), 107 (2002).

  26. V. I. Savichev and R. Blümel, Quasi-molecular resonances in muonic hydrogen charge-exchange reactions, Eur. Phys. J. D 21, 3--12 (2002). PDF

  27. R. Blümel, Yu. Dabaghian and R. V. Jensen, Exact, convergent periodic-orbit expansions of individual energy levels of regular quantum graphs, Phys. Rev. E 65, 046222, 1--10 (2002). PDF

  28. R. Blümel, Floquet Theory of the Quantum Dynamic Kingdon Trap, AIP Conference Proceedings 606, edited by Francois Anderegg, Lutz Schweikhard and C. Fred Driscoll (American Institute of Physics, 2002), pp. 509--512.

  29. G. N. Rockwell, V. F. Hoffman, Th. Clausen and R. Blümel, Realistic three-dimensional computations of microwave-ionization curves of hydrogen Rydberg atoms, Phys. Rev. A 65, 025401 (2002). PDF

  30. R. Blümel, Yu. Dabaghian and R. V. Jensen, Explicitly solvable cases of one-dimensional quantum chaos, Phys. Rev. Lett. 88, 044101 (2002). PDF

  31. R. Blümel and I. Garrick-Bethell, Quantum mechanics of the dynamic Kingdon trap, Bull. Am. Phys. Soc. 46(3), 93 (2001).

  32. Th. Clausen and R. Blümel, Prediction of sharp ionization features in microwave-driven hydrogen Rydberg atoms, Bull. Am. Phys. Soc. 46(3), 81 (2001).

  33. Yu. Dabaghian, R. V. Jensen and R. Blümel, One-dimensional quantum chaos: Explicitly solvable cases, Pis'ma Zh. \'Eksp. Teor. Fiz. 74, 258--262 (2001); JETP Lett. 74, 235--239 (2001). PDF

  34. R. Blümel and Y. Dabaghian, Combinatorial identities for binary necklaces from exact ray-splitting trace formulas, J. Math. Phys. 42, 5832--5839 (2001). PDF

  35. N. Savytskyy, A. Kohler, Sz. Bauch, R. Blümel, and L. Sirko, Parametric correlations of the energy levels of ray-splitting billiards, Phys. Rev. E 64, 036211, pp. 1--5 (2001). PDF

  36. Y. Dabaghian, R. V. Jensen and R. Blümel, Exact trace formulas for a class of one-dimensional ray-splitting systems, Phys. Rev. E 63, 066201, pp. 1--6 (2001). PDF

  37. R. Blümel, P. M. Koch, and L. Sirko, Ray-splitting Billiards, Foundations of Physics 31, 269--281 (2001). PDF

  38. R. Blümel, Ray splitting and chaos in electromagnetic resonators, in {\it Ultra-Wideband, Short-Pulse Electromagnetics 5, edited by Paul D. Smith and Shane R. Cloude (Kluwer Academic, 2001).

  39. R. Blümel and Th. Clausen, Wasserstoffionisation in starken Mikrowellenfeldern: Klassik, Semiklassik, Quantenmechanik Verhandl. DPG (VI) 35, 1108--1109 (2000).

  40. T. Vorrath and R. Blümel, Thomson-Atome, Physik in Unserer Zeit, 31, 115--120 (2000).

  41. T. Schneider and R. Blümel, Grundzustandseigenschaften bosonischer Thomson-Atome, Verhandl. DPG (VI) 35, 943 (2000).

  42. Th. Clausen and R. Blümel, Microwave Ionization of Hydrogen Rydberg Atoms: 3D Computations, Bull. Am. Phys. Soc. 45, 448 (2000).

  43. R. Blümel, Classical and Quantum Implications of Ray Splitting, Bull. Am. Phys. Soc. 45, 448 (2000).

  44. L. Sirko, Sz. Bauch, Y. Hlushchuk, P. M. Koch, R. Blümel, M. Barth, U. Kuhl, H.-J. St\"ockmann, Observation of dynamical localization in a rough microwave cavity, Physics Letters A 266, 331--335 (2000). PDF

  45. Y. Hlushchuk, A. Kohler, Sz. Bauch, L. Sirko, R. Blümel, M. Barth, and H.-J. St\"ockmann, Autocorrelation function of level velocities for ray-splitting billiards, Phys. Rev. E 61, 366--370 (2000). PDF

  46. R. Blümel, Book review on Theoretical Atomic Physics, by H. Friedrich (Springer, 1998), in Phys. Bl\"atter 55(9), 80--81 (1999).

  47. T. Schneider and R. Blümel, Bose-Einstein condensates of Bosonic Thomson atoms, J. Phys. B 32, 5017--5031 (1999). PDF

  48. R. Blümel, The Crystron: An Induction Accelerator for the Production of Crystalline Beams, in AIP Conference Proceedings 498, edited by J. J. Bollinger, R. L. Spencer and R. C. Davidson, pp. 345--349 (1999).

  49. R. Blümel and P. E. Smaldino, Induction accelerator for crystalline beams, Phys. Lett. A 260, 495--501 (1999). PDF

  50. H. Primack and R. Blümel, Synchrotron Radiation of Crystallized Beams, Phys. Rev. E 60, 957--967 (1999). PDF

  51. A. Kohler and R. Blümel, Classical and Quantum Chaos in Ray-Splitting Billiards, Bull. Am. Phys. Soc. 44, 1870 (1999).

  52. R. Blümel and H. Primack, Diagnostic Criterion for Beam Crystallization, Bull. Am. Phys. Soc. 44, 1304 (1999).

  53. R. Blümel and H. Primack, Synchrotron Radiation of Crystallized Beams, Bull. Am. Phys. Soc. 44, 1304 (1999).

  54. A. Kohler and R. Blümel, Test of semiclassical amplitudes for quantum ray-splitting systems, Phys. Rev. E 59, 7228--7230 (1999). PDF

  55. R. Blümel, Fractional Frequency Parametric Resonances in a Paul Trap, in {\it Trapped Charged Particles and Fundamental Physics, edited by D. H. E. Dubin and D. Schneider, AIP Conference Proceedings 457, 329--333 (1999).

  56. R. Blümel, Chaos and Order in Ion Traps and Storage Rings, in {\it Trapped Charged Particles and Fundamental Physics, edited by D. H. E. Dubin and D. Schneider, AIP Conference Proceedings 457, 290--294 (1999).

  57. A. Kohler and R. Blümel, Signature of Periodic Lateral-Ray Orbits in a Rectangular Ray-Splitting Billiard, Phys. Lett. A 247, 87--92 (1998). PDF

  58. H. Primack and R. Blümel, Diagnostic Criterion for Crystallized Beams, Phys. Rev. E 58, 6578--6583 (1998). PDF

  59. H. Primack and R. Blümel, Suppression of synchrotron radiation due to beam crystallization, Eur. Phys. J. A 3, 299--301 (1998). PDF

  60. B. Reusch and R. Blümel, Crystallized Vortex Crystals, Eur. Phys. J. D 3, 123--127 (1998). PDF

  61. X. Chu, R. Blümel, R. W. Alheit, M. A. N. Razvi, B. Sch\"afer, and G. Werth, Parametrische kollektive Resonanz bei gebrochenen Frequenzen in einer Paulfalle, Verhandl. DPG (VI) 33, 111 (1998).

  62. A. Kohler and R. Blümel, Weyl formulas for quantum ray-splitting billiards, Ann. Phys. (N.Y.) 267, 249--280 (1998). PDF

  63. M. A. N. Razvi, X. Z. Chu, R. Alheit, G. Werth and R. Blümel, Fractional frequency collective parametric resonances of an ion cloud in a Paul trap, Phys. Rev. A 58, R34--R37 (1998). PDF

  64. A. Kohler and R. Blümel, Annular Ray-Splitting Billiard, Phys. Lett. A 238, 271--277 (1998). PDF

  65. R. Blümel, Quantum Implications of Ray Splitting, Acta Physica Polonica A 93, 7--10 (1998).

  66. R. Blümel, E. Bonneville and A. Carmichael, Chaos and bifurcations in ion traps of cylindrical and spherical design, Phys. Rev. E 57, 1511--1518 (1998). PDF

  67. Sz. Bauch, A. B{\l}\c{e}dowski, L. Sirko, P. M. Koch, and R. Blümel, Signature of non-Newtonian orbits in ray-splitting cavities, Phys. Rev. E 57, 304--315 (1998). PDF

  68. R. Alheit, X. Z. Chu, M. Hoefer, M. Holzki, G. Werth, and R. Blümel, Nonlinear Collective Oscillations of an Ion Cloud in a Paul Trap, Phys. Rev. A 56, 4023--4031 (1997). PDF

  69. R. Blümel and W. P. Reinhardt, Chaos in Atomic Physics (Cambridge University Press, Cambridge, 1997).

  70. A. Kohler, G. H. M. Killesreiter, and R. Blümel, Ray Splitting in a Class of Chaotic Triangular Step Billiards, Phys. Rev. E 56, 2691--2701 (1997). PDF

  71. R. Alheit, M. Hoefer, M. Holzki, G. Werth, and R. Blümel, Nichtharmonische Resonanzen in der Paulschen Ionenfalle, Verhandlungen DPG 3, 203 (1997).

  72. R. Blümel, Microwave Ionization of Hydrogen Rydberg Atoms: Chaos, Symmetry and Dynamical Localization, in {\it Classical, Semiclassical and Quantum Dynamics in Atoms, edited by H. Friedrich and B. Eckhardt, Lecture Notes in Physics 485, p. 153--171 (1997).

  73. L. Sirko, P. M. Koch, and R. Blümel, Experimental identification of non-Newtonian orbits produced by ray splitting in a dielectric-loaded microwave cavity, Phys. Rev. Lett. 78, 2940--2943 (1997). PDF

  74. R. Blümel, Book review on Chaos -- The Interplay Between Stochastic and Deterministic Behaviour, edited by P. Garbaczewski, M. Wolf and A. Weron (Springer, 1995), in Contemp. Phys. 38, 88--89 (1997).

  75. R. Blümel and A. Kohler, Strahlenspaltung und Quantenchaos, Phys. Bl. 52, 1243--1245 (1996).

  76. R. Blümel, Existence of an Ericson Regime in Stretched Helium, Phys. Rev. A 54, 5420--5422 (1996). PDF

  77. R. Blümel, T. M. Antonsen, Jr., B. Georgeot, E. Ott, and R. E. Prange, Ray Splitting and Quantum Chaos, Phys. Rev. E 53, 3284--3302 (1996). PDF

  78. R. Blümel, T. M. Antonsen, Jr., B. Georgeot, E. Ott, and R. E. Prange, Ray Splitting and Quantum Chaos, Phys. Rev. Lett. 76, 2476--2479 (1996). PDF

  79. R. E. Prange, E. Ott, T. M. Antonsen, B. Georgeot, and R. Blümel, Smoothed Density of States for Problems with Ray-Splitting, Phys. Rev. E 53, 207--213 (1996). PDF

  80. R. Blümel, Reply on Sensitivity and Chaos in quantum systems, Phys. Rev. Lett. 75, 582 (1995). PDF

  81. R. E. Ryan, L. A. Westling, R. Blümel, and H. J. Metcalf, Two-photon spectroscopy: A technique for characterizing diode-laser noise, Phys. Rev. A 52, 3157--3169 (1995). PDF

  82. R. Blümel, Genuine electromagnetic wave chaos, Phys. Rev. E 51, 5520--5523 (1995). PDF

  83. M. G. Moore and R. Blümel, Prediction of Deterministic Melting Regions of Two and Three Laser-cooled Ions in a Paul Trap, Physica Scripta T 59, 434--437 (1995).

  84. M. G. Moore and R. Blümel, An Improved Pseudo Potential for the Two-Ion Paul Trap, Physica Scripta T 59, 429--433 (1995).

  85. R. Blümel, Nonlinear Dynamics of Trapped Ions, Physica Scripta T 59, 369--379 (1995).

  86. R. Blümel, An introduction to chaos in dynamic ion traps, Physica Scripta T 59, 126--130 (1995).

  87. R. Blümel and B. Esser, Type II Quantum Chaos, Z. Phys. B 98, 119--131 (1995).

  88. R. Blümel and B. Esser, Reply Comment to Quantum Chaos in the Born-Oppenheimer Approximation, Phys. Rev. Lett. 74, 1485 (1995). PDF

  89. R. Blümel, Dynamic Kingdon trap, Phys. Rev. A 51, R30--R33 (1995). PDF

  90. R. Blümel, The dynamic Kingdon trap: A novel design for the storage and crystallization of laser-cooled ions, Appl. Phys. B 60, 119--122 (1995).

  91. R. Blümel, Cooling-induced melting of ion crystals in a Paul trap, Phys. Rev. A 51, 620--624 (1995). PDF

  92. R. Blümel, Quantum Chaos in Few-Body Systems, Bull. Am. Phys. Soc. 39, 1177 (1994).

  93. M. G. Moore and R. Blümel, Prediction of an Alignment Transition Region of Two-ion Crystals in a Paul Trap, Phys. Rev. A 50, R4453--R4456 (1994). PDF

  94. A. Haffmans, R. Blümel, P. M. Koch, and L. Sirko, Prediction of a New Peak in Two-Frequency Microwave Ionization of Excited Hydrogen Atoms, Phys. Rev. Lett. 73, 248--251 (1994). PDF

  95. R. Blümel, Exponential Sensitivity and Chaos in Quantum Systems, Phys. Rev. Lett. 73, 428--431 (1994). PDF

  96. R. Blümel, Sensitivity and Chaos in Quantum Systems, Nuc. Phys. A 572, 9--16 (1994). PDF

  97. R. Blümel and B. Esser, Quantum Chaos in the Born-Oppenheimer Approximation, Phys. Rev. Lett. 72, 3658--3661 (1994). PDF

  98. R. Blümel, Microwave Ionization of Hydrogen Rydberg Atoms: Resonance Analysis and Critical Fields, Phys. Rev. A 49, 4787--4793 (1994). PDF

  99. M. Thaha and R. Blümel, Nonuniversality of Localization Length in a Quantum Chaotic System, Bull. Am. Phys. Soc. 39, 605 (1994).

  100. M. Thaha and R. Blümel, Nonuniversality of the Localization Length in a Quantum Chaotic System, Phys. Rev. Lett. 72, 72--75 (1994). PDF

  101. R. Blümel and W. P. Reinhardt, Streched Helium: A Model for Quantum Chaos in Two-Electron Atoms, in Quantum Chaos, edited by G. Casati and B. V. Chirikov, (Cambridge Univ. Press, 1994).

  102. M. Thaha und R. Blümel, Nonuniversality of the Localization Length in the Symplectic Kicked Rotor Model, published in the ITAMP Proceedings on Quantum Chaos: Experiment and Theory, (1993).

  103. R. Blümel, Quantum chaotic scattering with CsI molecules, Chaos, 3, 683--690 (1993). PDF

  104. Y. C. Lai, C. Grebogi, R. Blümel, und I. Kan, Crisis in Chaotic Scattering, Phys. Rev. Lett. 71, 2212--2215 (1993). PDF

  105. J. W. Emmert, M. Moore and R. Blümel, Prediction of a deterministic melting transition of two-ion crystals in a Paul trap, Phys. Rev. A 48, R1757--R1760 (1993). PDF

  106. M. Thaha, R. Blümel and U. Smilansky, Symmetry Breaking and Localization in Quantum Chaotic Systems, Phys. Rev. E 48, 1764--1781 (1993). PDF

  107. M. Moore and R. Blümel, Quantum Manifestations of Order and Chaos in the Paul-Trap, Phys. Rev. A 48, 3082--3091 (1993). PDF

  108. R. Blümel and R. Blümel, Computer Aided Pulse Pattern Synthesis for VSI-Fed Machine Drives, Proceedings of the PCIM, (Incom Ziroth and partner GmbH, Nürnberg, 1993).

  109. R. Blümel, Comment on Regular and Chaotic Motions in Ion Traps: A Nonlinear Analysis of Trap Equations, Phys. Rev. A 48, 854--855 (1993). PDF

  110. R. Blümel, On the Integrability of the Two-ion Paul-Trap in the Pseudo Potential Approximation, Phys. Lett. A 174, 174--175 (1993). PDF

  111. M. Moore and R. Blümel, Quantum Manifestation of Chaos in the Paul-trap, in Quantum Dynamics of Chaotic Systems, edited by J.-M. Yuan, D. H. Feng and G. M. Zaslavsky, pp. 163--176 (Gordon and Breach, Amsterdam, 1993).

  112. R. Blümel, Exotic Fractals and Atomic Decay, Proceedings of the International School Enrico Fermi, Course CXIX, (North-Holland, Amsterdam, 1993), pp. 385--398.

  113. R. Blümel, C. Kappler, W. Quint, and H. Walther, Erratum Chaos and order of laser-cooled ions in a Paul-trap, [Phys. Rev. A 40, 808 (1989)], Phys. Rev. A 46, 8034 (1992). PDF

  114. Y. C. Lai, M. Ding, C. Grebogi, and R. Blümel, Algebraic Decay and Fluctuations of Decay Exponent in Hamiltonian Systems, Phys. Rev. A 46, 4661--4669 (1992). PDF

  115. Y. C. Lai, R. Blümel, E. Ott, and C. Grebogi, Quantum Manifestations of Chaotic Scattering, Phys. Rev. Lett. 68, 3491--3494 (1992). PDF

  116. R. Blümel and U. Smilansky, Symmetry Breaking and Localization in Quantum Chaotic Systems, Phys. Rev. Lett. 69, 217--220 (1992). PDF

  117. R. Blümel, Book review on Quantum Signatures of Chaos, by F. Haake (Springer, 1991), in Foundations of Physics 22, 635--637 (1992).

  118. R. Blümel and J. Mehl, Quantum Chaos, J. Stat. Phys. 68, 311--319 (1992).

  119. R. Blümel, B. Dietz, C. Jung, and U. Smilansky, On the transition to chaotic scattering, J. Phys. A 25, 1483--1502 (1992). PDF

  120. Y. C. Lai, C. Grebogi, R. Blümel, and M. Ding, Algebraic Decay and Phase-Space Metamorphoses in Microwave Ionization of Hydrogen Rydberg Atoms, Phys. Rev. A 45, 8284--8287 (1992). PDF

  121. C. F. Hillermeier, R. Blümel, and U. Smilansky, Ionization of H Rydberg Atoms: Fractals and Powerlaw Decay, Phys. Rev. A 45, 3486--3502 (1992). PDF

  122. R. Blümel, I. H. Davidson, W. P. Reinhardt, H. Lin, and M. Sharnoff, Quasilinear Ridge Structures in Water Surface Waves, Phys. Rev. A 45, 2641--2644 (1992). PDF

  123. R. Blümel and W. P. Reinhardt, Where is the Chaos in Two-Electron Atoms?, in Directions in Chaos, Vol. 4, edited by D. H. Feng and J.-M. Yuan (World Scientific, Singapore, 1992), pp. 245--319.

  124. R. Blümel, Quantum Chaotic Scattering, in Directions in Chaos, Vol. 4, edited by D. H. Feng and J.-M. Yuan, (World Scientific, Singapore, 1992), pp. 397--457.

  125. R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Dynamical Localization in the Microwave Interaction of Rydberg Atoms: The Influence of Noise, Phys. Rev. A 44, 4521--4540 (1991). PDF

  126. R. Blümel and K. Dietrich, Quantum States of Neutrons in the Magnetic Field of a Rectilinear Current, Phys. Rev. A 43, 22--28 (1991). PDF

  127. R. Blümel and C. Kappler, Chaos in der Paulfalle, Verhandl. DPG (VI) 25, 462 (1990).

  128. R. Blümel, E. Peik, W. Quint, and H. Walther, Phase Transitions of Stored Laser-Cooled Ions, Acta Physica Polonica A 78, 419--432 (1990).

  129. R. Blümel, Quantenchaos-Theorie besteht Mikrowellentest, Phys. Bl. 46, 359--360 (1990).

  130. R. Blümel, A New Class of Ordered Structures in a Paul Trap: Classically Stable Clusters of Ions of Both Charge Signs, in OSA Proceedings on Nonlinear Dynamics in Optical Systems, Vol. 7, edited by N. B. Abraham, E. Garmire, and P. Mandel (Afton, Oklahoma, June 4--8, 1990), pp. 594--597.

  131. R. Blümel, Hetero Charged Ion Clusters in a Paul Trap, Z. Phys. D 16, 293--297 (1990).

  132. R. Blümel and U. Smilansky, Quantum Mechanical Suppression of Chaos, Physics World 3(2), 30--34 (1990).

  133. R. Blümel, C. Hillermeier and U. Smilansky, Classical and Quantum Dynamical Regimes in the Bound Space Projected Dynamics of Strongly Driven H Rydberg Atoms, Z. Phys. D 15, 267--280 (1990).

  134. R. Blümel and U. Smilansky, Ionization of Hydrogen Rydberg Atoms in Strong Mono- and Bichromatic Microwave Fields, J. Opt. Soc. Am. B 7, 664--679 (1990).

  135. R. Blümel and U. Smilansky, Random Matrix Description of Chaotic Scattering: Semiclassical Approach, Phys. Rev. Lett. 64, 241--244 (1990). PDF

  136. R. Blümel, The Physics of Stored Laser Cooled Ion Clusters: Phase Transitions in a System with only a Few Degrees of Freedom, in Coherence and Quantum Optics VI, Proceedings of the Sixth Rochester Conference on Coherence and Quantum Optics, June 26--28, edited by J. H. Eberly, L. Mandel and E. Wolf (Plenum Press, New York and London, 1989), ISBN 0-306-43485-7.

  137. R. Blümel and U. Smilansky, Quantenmechanik des irregul\"aren Streuens, Phys. Bl. 45, 379--381 (1989).

  138. C. Hillermeier and R. Blümel, Fractallike Structures and the Strongly Kicked H-Atom, in Fundamentals of Laser Interactions II, Feb. 26 -- March 4, edited by F. Ehlotzky (Springer, 1989).

  139. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther and K. Yamada, Localization Properties of Rydberg Atoms in the Presence of Noisy Mono-chromatic Microwave fields, in Fundamentals of Laser Interactions II, Feb. 26 -- March 4, edited by F. Ehlotzky (Springer, 1989).

  140. R. Blümel, E. Peik, W. Quint and H. Walther, Phase Transitions of Stored Laser Cooled Ions: A First Step Towards Crystallization in Storage Rings, Proceedings of the 5th Int. Sympos. on Quantum Optics, Rotorua, Auckland, New Zealand, Feb. 13--17 (Springer, 1989).

  141. R. Blümel and K. Dietrich, Bound states of a neutron in the cylindrically symmetric magnetic field of a current carrying wire, Phys. Lett. A 139, 236--240 (1989). PDF

  142. R. Blümel, J. M. Chen, F. Diedrich, E. Peik, W. Quint and H. Walther, Phase Transitions of Stored Laser Cooled Ions, in Proceedings of the Workshop on Crystalline Ion Beams, October 4-7, 1988, Wertheim, edited by R. W. Hasse, I. Hofmann and D. Liesen, GSI-89-10, report, April 1989, ISSN 0171-4546, pp. 194--230.

  143. R. Blümel, C. Kappler, W. Quint and H. Walther, Chaos and Order of Laser Cooled Ions in a Paul-Trap, Phys. Rev. A 40, 808--823 (1989). PDF

  144. R. Blümel, J. M. Chen, F. Diedrich, E. Peik, W. Quint, W. Schleich Y. R. Shen and H. Walther, Phase Transitions of Stored Laser Cooled Ions, in Proceedings of the ELeventh International Conference on Atomic Physics, (ELICAP), Paris, July 4-8, 1988 (World Scientific, 1989).

  145. R. Blümel and U. Smilansky, Ionization of Excited Hydrogen Atoms by Microwave Fields: A Test Case for Quantum Chaos, Physica Scripta 40, 386 (1989).

  146. R. Blümel and U. Smilansky, Excitation and Ionization of High-n H-Atoms by mono-chromatic and bi-chromatic Microwave Fields, in The Structure of Small Molecules and Ions, eds.: R. Naaman and Z. Vager, Plenum Publ. Company (1989), pp. 319--331.

  147. R. Blümel and U. Smilansky, A Simple Model for Chaotic Scattering, II. Quantum Mechanical Theory, Physica D 36, 111--136 (1989).

  148. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther and K. Yamada, Microwave Excitation of Rydberg Atoms in the Presence of Noise, Phys. Rev. Lett. 62, 341--344 (1989). PDF

  149. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther, and K. Yamada, über den Einflu{\ss} von Rauschen auf die Quantendynamik von Rydbergatomen in starken Mikrowellenfeldern, Sektion Q9, Verhandl. DPG (VI) 24, 20 (1989).

  150. R. Blümel, G. Jaeckel and U. Smilansky, Ionization of High-n H-atoms by Bichromatic Microwave Fields, Phys. Rev. A 39, 450--453 (1989). PDF

  151. M. Alexander, J. Strempel, R. Blümel, U. Smilansky, and H. Walther, Chaos in Rydbergatomen, Verhandl. DPG (VI) 23, 56 (1988).

  152. F. Diedrich, E. Peik, J. Chen, W. Quint, H. Walther, R. Blümel, W. Schleich, and Y.-R. Shen, Ionenkristalle und Phasenüberg\"ange in einer Paul-Falle, Verhandl. DPG (VI) 23, 42--43 (1988).

  153. R. Blümel, J. M. Chen, E. Peik, W. Quint, W. Schleich, Y. R. Shen and H. Walther, Phase Transitions of Stored Laser-Cooled Ions, Nature 334, 309--313 (1988). PDF

  154. R. Blümel, J. Goldberg and U. Smilansky, Features of the Quasienergy Spectrum of the Hydrogen Atom in a Microwave Field, Zeitschrift für Physik D 9, 95--103 (1988).

  155. R. Blümel and U. Smilansky, Classical Irregular Scattering and its Quantum Mechanical Implications, Phys. Rev. Lett. 60, 477--480 (1988). PDF

  156. R. Blümel, U. Smilansky, K.A.H. van Leeuwen, P.M. Koch, D. Richards and J.G. Leopold, Ionization of Excited Hydrogen Atoms Below the Classical Threshold by a Microwave Field, Bull. Am. Phys. Soc. 32, 1264 (1987).

  157. R. Blümel and U. Smilansky, Localization of Floquet States in the rf Excitation of Rydberg Atoms, Phys. Rev. Lett. 58, 2531--2534 (1987). PDF

  158. R. Blümel and U. Smilansky, Microwave Ionization of Highly Excited Hydrogen Atoms, Zeitschrift für Physik D 6, 83--105 (1987).

  159. R. Blümel and K. Dietrich, Excited States of Light N=Z Nuclei with a Specific Spin-Isospin Order, Nucl. Phys. A 471, 453--468 (1987). PDF

  160. R. Blümel and K. Dietrich, On the Relationship between the Source of the Pion Field in a Nucleus and Certain Quasi-Spin Algebras Ann. Univ. Marie Curie Sklodowska, XL-XLI (1987), pp. 39--50.

  161. R. Blümel and U. Smilansky, Microwave Ionization of Hydrogen Atoms Below the Classical Chaos Border, Physica Scripta 35, 15--19 (1987).

  162. R. Blümel and K. Dietrich, Pion Condensation in Excited States of Light N=Z Nuclei with a Specific Spin-Isospin Order, in Windsurfing the Fermi Sea II, edited by T. T. S. Kuo and J. Speth, (Elsevier Science Publishers B. V., 1987).

  163. R. Blümel and K. Dietrich, Pion Condensates in Excited States of Finite Nuclei and of Nuclear Matter, Nucl. Phys A 454, 691--719 (1986). PDF

  164. R. Blümel, S. Fishman and U. Smilansky, Excitation of Molecular Rotation by Periodic Microwave Pulses -- A Testing Ground for Anderson Localization, J. Chem. Phys. 84, 2604--2614 (1986). PDF

  165. R. Blümel, S. Fishman, M. Griniasti and U. Smilansky, Localization in the Quantum Description of the Periodically Perturbed Rotor, in Quantum Chaos and Statistical Nuclear Physics, Lecture Notes in Physics No. 263, eds.: T. H. Seligman and H. Nishioka, (Springer 1986).

  166. R. Blümel and U. Smilansky, Ionization of Surface-State Electrons by Microwave Fields: Quantum Treatment, Phys. Rev. A 32, 1900--1902 (1985). PDF

  167. E. R. Marshalek and R. Blümel, Mixed Alignment in the Osmium-Iridium Region, Phys. Rev. Lett. 55, 370--373 (1985). PDF

  168. R. Blümel and R. Meir, Effect of Continuum-Continuum-Interaction on the Ionization Rate of a Model Atom, J. Phys. B 18, 2835--2841 (1985). PDF

  169. R. Blümel, R. Meir and U. Smilansky, Continuous vs. Discrete Quasi-Energy Spectrum in the Quantal Description of a Simple Parametric Resonator, Phys. Lett. A 103, 353--356 (1984). PDF

  170. R. Blümel and U. Smilansky, Suppression of Classical Stochasticity by Quantum Mechanical Effects in the Dynamics of Periodically Perturbed Surface-State Electrons Phys. Rev. A 30, 1040--1051 (1984). PDF

  171. R. Blümel and U. Smilansky, Quantum Mechanical Suppression of Classical Stochasticity in the Dynamics of Periodically Perturbed Surface-State-Electrons, Phys. Rev. Lett. 52, 137--140 (1984). PDF