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Construction of thr Green’s function for the pseudoharmonical oscillator

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Dusan Popov

Editorial: Czechoslovak Journal of Physics, 49 (2), p.145 - 153, 1999.


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.

Cuvinte cheie: pseudoharmonical oscillator, density matrix, Bloch equation, Green's function