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Postmodern Quantum Mechanics

JUL 01, 1993
Recent progress in semiclassical theory has overcome barriers posed by classical chaos and cast light on the correspondence principle. Semiclassical ideas have also become central to new experiments in atomic, molecular, microwave and mesoscopic physics.
Eric J. Heller
Steven Tomsovic

Postmodern movements are well known in the arts. After a major artistic revolution, and after the “modern” innovations have been assimilated, the threads of premodern thought are always reconsidered. Much of value may be rediscovered and put to new use. The modern context casts new light on premodern thought, which in turn shades perspectives on modernism.

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References

  1. 1. A. Einstein, Verh. Dtsch. Phys. Ges. 19, 82 (1917); https://doi.org/VDPEAZ
    translated by C. Jaffe, report 116, Joint Institute for Laboratory Astrophysics, Boulder, Colo., September 1980.

  2. 2. M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971), and refs. therein.https://doi.org/JMAPAQ

  3. 3. J. Ford, in The New Physics, Paul Davies, ed., Cambridge U.P., New York (1989), p. 348.

  4. 4. H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering, Cambridge U.P., New York (1992).

  5. 5. M. V. Berry, J. P. Keating, Proc. R. Soc. Lond., Ser. A 437, 151 (1992).

  6. 6. P. Cvitanovic, B. Eckhardt, Phys. Rev. Lett. 63, 823 (1989).https://doi.org/PRLTAO

  7. 7. D. Wintgen, K. Richter, G. Tanner, Chaos 2, 19 (1992). https://doi.org/CHAOEH
    G. Ezra, K. Richter, G. Tanner, D. Wintgen, J. Phys. B 24, L413 (1991).https://doi.org/JPAPEH

  8. 8. S. Tomsovic, E. J. Heller, Phys. Rev. Lett. 70, 1405 (1993).https://doi.org/PRLTAO

  9. 9. E. J. Heller, Phys. Rev. Lett. 53, 1515 (1984).https://doi.org/PRLTAO

  10. 10. E. B. Bogomolny, Physica D 31, 169 (1988).https://doi.org/PDNPDT

  11. 11. M. V. Berry, in Chaos and Quantum Physics, M. J. Giannoni, A. Voros, J. Zinn‐Justin, eds., Elsevier, Amsterdam (1990), p. 251.

  12. 12. W. R. S. Garton, F. S. Tomkins, Astrophys. J. 158, 839 (1969).https://doi.org/ASJOAB

  13. 13. J. Main, G. Wiebusch, A. Holle, K. H. Welge, Phys. Rev. Lett. 57, 2789 (1986).https://doi.org/PRLTAO

  14. 14. A. Holle, G. Wiebusch, J. Main, B. Hager, H. Rottke, K. H. Welge, Phys. Rev. Lett. 56, 2594 (1986).https://doi.org/PRLTAO

  15. 15. D. Wintgen, H. Friedrich, Phys. Rev. Lett. 57, 571 (1986); https://doi.org/PRLTAO
    D. Wintgen, H. Friedrich, Phys. Rev. A 36, 131 (1987). https://doi.org/PLRAAN
    H. Friedrich, D. Wintgen, Phys. Rep. 183, 37 (1989). https://doi.org/PRPLCM
    M. L. Du, J. B. Delos, Phys. Rev. Lett. 58, 1731 (1987).https://doi.org/PRLTAO

  16. 16. M. C. Gutzwiller, Physica D 5, 183 (1982).https://doi.org/PDNPDT

  17. 17. D. Wintgen, Phys. Rev. Lett. 58, 1589 (1987). https://doi.org/PRLTAO
    J. Gao, J. B. Delos, M. Baruch, Phys. Rev. A 46, 1449 (1992), https://doi.org/PLRAAN
    and refs. therein.W. Reinhardt, J. Phys. B 16, L635 (1983).https://doi.org/JPAMA4

  18. 18. E. J. Heller, J. Chem. Phys. 68, 3891 (1978).https://doi.org/JCPSA6

  19. 19. E. J. Heller, J. Chem. Phys. 94, 2723 (1991).https://doi.org/JCPSA6

  20. 20. M. V. Berry, N. L. Balazs, J. Phys. A 12, 625 (1979). https://doi.org/JPHAC5
    M. V. Berry, N. L. Balazs, M. Tabor, A. Voros, Ann. Phys. (N Y) 122, 26 (1979).https://doi.org/APNYA6

  21. 21. M. Sepulveda, S. Tomsovic, E. J. Heller, Phys. Rev. Lett. 69, 402 (1992).https://doi.org/PRLTAO

  22. 22. C. M. Marcus, A. J. Rimberg, R. M. Westervelt, P. F. Hopkins, A. C. Gossard, Phys. Rev. Lett. 69, 506 (1992).https://doi.org/PRLTAO

  23. 23. S. Sridhar, E. J. Heller, Phys. Rev. A 46, R1728 (1992). https://doi.org/PLRAAN
    H. J. Stöckman, J. Stein, Phys. Rev. Lett. 64, 2215 (1990). https://doi.org/PRLTAO
    J. Stein, H. J. Stöckman, Phys. Rev. Lett. 68, 2867 (1992).https://doi.org/PRLTAO

  24. 24. S. Tomsovic, E. J. Heller, Phys. Rev. Lett. 67, 664 (1991)
    S. Tomsovic, E. J. Heller, Phys. Rev. E 47, 282 (1993).https://doi.org/PRLTAO

More about the authors

Eric J. Heller, Harvard University, Harvard‐Smithsonian Center for Astrophysics.

Steven Tomsovic, University of Washington in Seattle.

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This Content Appeared In
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Volume 46, Number 7

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