Statistical Properties of the Excited Binomial States for the Pseudoharmonic Oscillator
Dušan Popov, Nicolina Pop
In this paper we have studied the binomial states and also the excited binomial states defined in terms of the Fock-basis vectors of the pseudoharmonic oscillator. We have demonstrated that outside of the behavior at the harmonic limit, when the binomial states lead to the coherent states of the one dimensional harmonic oscillator, these states have in fact all the characteristics of the coherent states defined on the complex unit disk. We have calculated the expectation values and the Mandel parameter (as well as their thermal analogue) which give us information on their statistical behavior. All the obtained relations tend, at the harmonic limit, to the corresponding relations for the one dimensional harmonic oscillator.
Chinese Journal of Physics•Apr 1, 2014•2 citations