Skip to main content
Log in

On the Derivation of the Time-Dependent Equation of Schrödinger

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Few have done more than Martin Gutzwiller to clarify the connection between classical time-dependent motion and the time-independent states of quantum systems. Hence it seems appropriate to include the following discussion of the origins of the time-dependent Schrödinger equation in this volume dedicated to him.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965), p. 84.

    Google Scholar 

  2. J. S. Briggs and J. M. Rost, EPJD 10, 311 (2000).

    Google Scholar 

  3. N. F. Mott, Proc. Camb. Phil. Soc. 27, 553 (1931).

    Google Scholar 

  4. J. S. Briggs and J. H. Macek, Adv. At. Mol. Phys. 28, 1 (1991).

    Google Scholar 

  5. E. Schrödinger, Ann. Phys. (Leopzig) 79, 361 (1926).

    Google Scholar 

  6. E. Schrödinger, Ann. Phys. (Leipzig) 79, 489 (1926).

    Google Scholar 

  7. E. Schrödinger, Ann. Phys. (Leipzig) 81, 109 (1926).

    Google Scholar 

  8. M. Born, W. Heisenberg, and P. Jordan, Z. Phys. 35, 557 (1926).

    Google Scholar 

  9. C. Cohen-Tannondji, B. Diu, and F. Laloë, Quantum Mechanics (New York, Wiley, 1998).

    Google Scholar 

  10. G. Eder, Quantenmechanik (Bibliographisches Institut, Mannheim, 1980).

    Google Scholar 

  11. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1970).

    Google Scholar 

  12. P. Roman, Advanced Quantum Theory (Addison-Wesley, Reading, Massachusetts, 1965).

    Google Scholar 

  13. B. H. Bransden and C. J. Joachain, Quantum Mechanics (Harlow, Prentice Hall, 2000).

    Google Scholar 

  14. P. A. M. Dirac, Proc. Roy. Soc. A 114, 243 (1927).

    Google Scholar 

  15. W. Pauli, Die Allgemeinen Prinzipien der Wellenmechanik (Springer, Berlin, 1990), p. 84.

    Google Scholar 

  16. Y. Aharonov and D. Bohm, Phys. Rev. 122, 1649 (1961).

    Google Scholar 

  17. N. Grot, C. Rovelli, and R. S. Tate, Phys. Rev. A 54, 4676 (1996).

    Google Scholar 

  18. W. Heisenberg, Z. Phys. 43, 172 (1927).

    Google Scholar 

  19. L. Mandelstam and I. Tamm, J. Phys. (Moscow) 9, 249 (1945).

    Google Scholar 

  20. E. A. Gislason, N. H. Sabelli, and J. W. Wood, Phys. Rev. A 31, 2078 (1985).

    Google Scholar 

  21. D. H. Kobe and V. C. Aguileva-Navarro, Phys. Rev. A 50, 933 (1994).

    Google Scholar 

  22. L. Landau and R. Peierls, Z. Phys. 69, 56 (1931).

    Google Scholar 

  23. E. P. Wigner, in Aspects of Quantum Theory, A. Salam and E. P. Wigner, eds. (University Press, Cambridge, 1972), p. 237.

    Google Scholar 

  24. J. H. Eberly and L. P. S. Singh, Phys. Rev. D 7, 359 (1973).

    Google Scholar 

  25. D. T. Pegg, Phys. Rev. A 58, 4307 (1998).

    Google Scholar 

  26. J. B. Barbour, Phys. Rev. D 47, 5422 (1993).

    Google Scholar 

  27. E. Merzbacher, Quantum Mechanics (Wiley, New York, 1998).

    Google Scholar 

  28. R. Brout and G. Venturi, Phys. Rev. D 39, 2436 (1989). D. P. Datta, Mod. Phys. Lett. 8, 191 (1993). T. Brotz and C. Kiefer, Nucl. Phys. B 475, 339 (1996).

    Google Scholar 

  29. C. Kiefer, in Time, Temporality, Now, H. Atmanspacher and E. Ruhnau, eds. (Springer, Berlin, 1997), p. 227.

    Google Scholar 

  30. C. Kiefer, T. Padmanabhan, and T. P. Singh, Class. Quant. Gravity 8, L185 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Briggs, J.S., Rost, J.M. On the Derivation of the Time-Dependent Equation of Schrödinger. Foundations of Physics 31, 693–712 (2001). https://doi.org/10.1023/A:1017525227832

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017525227832

Keywords

Navigation