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Construction of the Green's function for the pseudoharmonical oscillator

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Czechoslovak Journal of Physics Aims and scope

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.

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Authors and Affiliations

  1. Department of Physics, University “Politehnica” of Timişoara, Piaţa Horaţiu No. 1, 1900, Timişoara, Romania.

    Dušan Popov

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  1. Dušan Popov
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Popov, D. Construction of the Green's function for the pseudoharmonical oscillator. Czechoslovak Journal of Physics 49, 145–153 (1999). https://doi.org/10.1023/A:1022889609148

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  • DOI: https://doi.org/10.1023/A:1022889609148

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