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An anisotropic charged oscillator in the presence of a constant magnetic field

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Il Nuovo Cimento B (1971-1996)

Summary

The problem of a charged anisotropic harmonic oscillator in a constant magnetic field is considered. The wave function in the Schrodinger picture has been calculated and utilized to obtain the coherent-state wave function. The Heisenberg equations of motion have been solved and related to coherent states by suitable definition of the Dirac operators. The Green’s function is calculated via the coherent states and the expectation value of the energy is obtained.

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References

  1. M. S. Abdalla:Phys. Rev. A,37, 4026 (1988).

    Article  ADS  Google Scholar 

  2. B. K. Cheng:J. Phys. A,17, 819 (1984).

    Article  ADS  Google Scholar 

  3. H. R. Lewis andW. B. Riesenfeld:J. Math. Phys.,10, 1458 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  4. M. S. Abdalla:Nuovo Cimento B,101, 267 (1988).

    Article  ADS  Google Scholar 

  5. N. H. March andM. P. Tosi:J. Phys. A,18 L, 643 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  6. J. M. Manoyan:J. Phys. A,19, 3013 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  7. A. S. Dutra andB. K. Cheng:Phys. Rev. A,39, 5897 (1989).

    Article  ADS  Google Scholar 

  8. S. Varro andF. Ehlotzky:Phys. Rev. A,36, 497 (1987).

    Article  ADS  Google Scholar 

  9. I. M. Davies:J. Phys. A,18, 2737 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  10. M. Mijatovic, A. Jannussis andA. Streclas:Phys. Lett. A,122, 31 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  11. A. D. Jannussis, G. N. Brodimas andA. Streclas:Phys. Lett. A,74, 6 (1979).

    Article  ADS  Google Scholar 

  12. B. Schuh:J. Phys. A,18, 803 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  13. N. Kokiantonis andD. P. L. Castrigiano:J. Phys. A,18, 45 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  14. M. S. Abdalla:Phys. Rev. A,41, 3775 (1990).

    Article  ADS  Google Scholar 

  15. M. S. Abdallasc:Phys. Rev. A, to appear (1991).

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Abdalla, M.S. An anisotropic charged oscillator in the presence of a constant magnetic field. Nuov Cim B 105, 1119–1129 (1990). https://doi.org/10.1007/BF02827321

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  • DOI: https://doi.org/10.1007/BF02827321

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