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D Popov et al 2013 Phys. Scr. 2013 014051 doi:10.1088/0031-8949/2013/T153/014051
D Popov1, N Pop1 and M Davidovic2
Show affiliationsIn this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.
03.65.Ge Solutions of wave equations: bound states
05.30.-d Quantum statistical mechanics
03.65.Yz Decoherence; open systems; quantum statistical methods
Quantum gases, liquids and solids
Issue T153 (March 2013)
Received 26 July 2012, accepted for publication 15 October 2012
Published 28 March 2013
Total article downloads: 23
D Popov et al 2013 Phys. Scr. 2013 014051
