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Barut-Girardello coherent states of the pseudoharmonic oscillator

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

Autori: Dusan Popov

Editorial: Journal of Physics A: Mathematical and General, 34, p.5283 - 529, 2001.


In the paper we have investigated some properties of the Barut–Giraradello
coherent states (BGCS) (the eigenstates of the SU(1, 1) lowering generator K− for the Hamiltonian of the pseudoharmonic oscillator (PHO). By using these states, the diagonal P-representation of the density operator is constructed as a new result for this potential. In addition, we have calculated some thermal expectation values for the quantum canonical gas of the PHOs. The calculations using the BGCS representation seem to be much simpler and easier to program
than the corresponding calculations in other representations (e.g. the position representation). At the end of the paper the time dependence of these states is presented.

Cuvinte cheie: density matrix, coherent states, pseudoharmonic oscillator