Skip to main content
Log in

Quantum—classical correspondence of the time-dependent linear potential

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

Using the trial-function method, the general solution of the Schrödinger equation for the time-dependent linear potential is obtained. Based on the Heisenberg correspondence principle, the solution of the classical equation of motion is derived from the quantum matrix elements.

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.

Similar content being viewed by others

References

  1. W.R. Greenberg, A. Klein, and C.T. Li: Phys. Rev. Lett.75 (1995) 1244.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. J.J. Morehead: Phys. Rev. A53 (1996) 1285.

    Article  ADS  Google Scholar 

  3. M.L. Liang and H.B. Wu: Phys. Scripta68 (2003) 41.

    Article  MATH  ADS  Google Scholar 

  4. I. Guedes: Phys. Rev. A63 (2001) 034102.

    Article  ADS  Google Scholar 

  5. M. Feng: Phys. Rev. A64 (2001) 034101.

    Article  ADS  Google Scholar 

  6. J. Bauer: Phys. Rev. A65 (2002) 036101.

    Article  ADS  Google Scholar 

  7. K. Husimi: Prog. Theor. Phys.9 (1953) 381.

    Article  ADS  MathSciNet  Google Scholar 

  8. F. Schweiter, B. Tilch, and W. Ebeling: Eur. Phys. J. B14 (2000) 157.

    Article  ADS  Google Scholar 

  9. R. Mamkin, A. Ainsaar, and E. Reiter: Phys. Rev. E61 (2000) 6359.

    Article  ADS  Google Scholar 

  10. G. Casati, B.V. Chirikov, D.L. Shepelyansky, and I. Guarneri: Phys. Rep.154 (1987) 77.

    Article  ADS  Google Scholar 

  11. S. Cocke and L.E. Reichl: Phys. Rev. A53 (1996) 1746.

    Article  ADS  Google Scholar 

  12. M.S. Chung, N.M. Miskovski, P.H. Cutler, and N. Kumar: Appl. Phys. Lett.76 (2000) 1143.

    Article  ADS  Google Scholar 

  13. J. Fortagh, H. Ott, A. Grossmann, and C. Zimmermann: Appl. Phys. B70 (2001) 701.

    Article  ADS  Google Scholar 

  14. H.R. Lewis: Phys. Rev. Lett.18 (1967) 510.

    Article  ADS  Google Scholar 

  15. H.R. Lewis and W.B. Riesenfeld: J. Math. Phys.10 (1969) 1458.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This project was supported by the LiuHui Fund for Applied Mathematics.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, ML., Zhang, ZG. & Zhong, KS. Quantum—classical correspondence of the time-dependent linear potential. Czech J Phys 54, 397–402 (2004). https://doi.org/10.1023/B:CJOP.0000020579.42018.d9

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CJOP.0000020579.42018.d9

PACS

Key words

Navigation