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Czechoslovak Journal of Physics

, Volume 49, Issue 2, pp 145–153 | Cite as

Construction of the Green's function for the pseudoharmonical oscillator

  • Dušan Popov
Article
  • 35 Downloads

Abstract

In the present paper we have constructed the Green's function for the pseudoharmonical potential, which is considered as an intermediate potential between the harmonic and anharmonic potentials. We have used a hybrid method, by combining the Laplace transformation method and the Green's function technique. The Green's function is used for obtaining the density matrix for a quantum-statistical system, in coordinate representation. Even if this is not a new result, the method can be applied to a class of exactly solvable potentials.

Keywords

Density Matrix Hybrid Method Transformation Method Function Technique Laplace Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    M. Sage:Chem. Phys.87(1984)431.Google Scholar
  2. [2]
    M. Sage and J. Goodisman:Am. J. Phys.53(1985)350.Google Scholar
  3. [3]
    D. Popov:Acta Phys. Slovaca 45(1995)557.Google Scholar
  4. [4]
    M. Molski:Acta Phys. Polonica A 83(1993)417.Google Scholar
  5. [5]
    A. Messiah:Mecanique quantique,Tome I, Dunod,Paris,1969.Google Scholar
  6. [6]
    R.P. Feynman:Statistical Mechanics,Benjamin, Massachusetts,1972.Google Scholar
  7. [7]
    P.O. Löwdin:Phys. Rev.97(1955)1474.Google Scholar
  8. [8]
    L. Chetouani, L. Guechi,and T. F. Hammann:Czech. J. Phys.43(1993)13.Google Scholar
  9. [9]
    J. Schwinger:Phys. Rev.82(1951)664.Google Scholar
  10. [10]
    I. S. Gradshtein and I. M. Ryzhik:Table of Integrals,Series and Products,Academic Press, London,New York,1980.Google Scholar
  11. [11]
    D. Popov:in Proc. Fifth Symposium of Mathematics and its Applications,Mirton, Timisoara, Romania,1993.Google Scholar
  12. [12]
    A. Das and W. J. Huang:Phys. Rev. D 41(1990)3241.Google Scholar

Copyright information

© Institute of Physics, Academy of Sciences of Czech Republic 1999

Authors and Affiliations

  • Dušan Popov
    • 1
  1. 1.Department of PhysicsUniversity “Politehnica” of TimişoaraTimişoaraRomania.

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