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Quasi-classical propagator of a quantum particle in the half-space confined with an ideal reflecting wall

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Il Nuovo Cimento B (1971-1996)

Summary

Quasi-classical propagators for a quantum particle moving in the half-spacea≤x<∞ under the influence of an arbitrary potential force (including the oscillator potential as a particular example) are calculated.

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References

  1. W. Janke andH. Kleinert:Lett. Nuovo Cimento,25, 297 (1979).

    Article  Google Scholar 

  2. T. E. Clark, R. Menikoff andD. H. Sharp:Phys. Rev. D,22, 3012 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  3. L. S. Schulman:Phys. Rev. Lett.,49, 591 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  4. R. E. Crandall:J. Phys. A,16, 513 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  5. T. Hannesson andS. M. Blinder:Nuovo Cimento B,79, 284 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  6. E. A. Akhundova, V. V. Dodonov andV. I. Man'ko:J. Phys. A,18, 467 (1985).

    Article  ADS  Google Scholar 

  7. J. R. Klauder:Phys. Rev. A,34, 4486 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  8. C. DeWitt-Morette, S. G. Low, L. S. Schulman andA. Y. Shiekh:Found. Phys.,16, 311 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  9. F. W. Wiegel andP. W. van Andel:J. Phys. A,20, 627 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  10. L. Chetouani, L. Guechi andT. E. Hammann:Nuovo Cimento B,101, 547 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  11. B. K. Cheng:Two-dimensional harmonic oscillator interacting with a wedge, Preprint Universidad Federal do Parana, Curitiba, Brazil (1990).

    Google Scholar 

  12. E. B. Manoukian:Nuovo Cimento B,99, 133 (1987);100, 185 (1987);105, 745 (1990).

    Article  ADS  Google Scholar 

  13. D. Peak andA. Inomata:J. Math. Phys.,10, 1422 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  14. P. Camiz, A. Gerardi, C. Marchioro, E. Presutti andE. Scacciatelli:J. Math. Phys.,12, 2040 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  15. V. V. Dodonov, I. A. Malkin andV. I. Man'ko:Physica,72, 597 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  16. V. V. Dodonov, I. A. Malkin andV. I. Man'ko:Nuovo Cimento B,24, 46 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  17. J. H. Vleck:Proc. Nat. Acad. Sci. USA,14, 178 (1928).

    Article  ADS  Google Scholar 

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Dodonov, V.V., Klimov, A.B. & Man'ko, V.I. Quasi-classical propagator of a quantum particle in the half-space confined with an ideal reflecting wall. Nuovo Cim B 106, 1417–1426 (1991). https://doi.org/10.1007/BF02728370

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  • DOI: https://doi.org/10.1007/BF02728370

PACS 03.65

PACS 03.65.Sq

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