Statistical properties of the Hamiltonian generating phase state derived by using the generalized Hellmann–Feynman theorem

Hong-yi Fan, Xue-xiang Xu and Li-yun Hu

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 10, 2014-2019

Abstract: We study statistical properties of the Hamiltonian (H=ωa†a+κa†N+1+κN+1a) generating phase state. Using the generalized Hellmann–Feynman theorem for ensemble average, we derive its mean energy and find the ratio of the mean energies contributed from the term a†a to that from a†N+1+κN+1a. The relation on the entropy-variation with respect to the dynamic parameters ω and κ is also examined.

Keywords: Harmonic oscillator; Phase state; Statistical properties; Generalized Hellmann–Feynman theorem (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:10:p:2014-2019

DOI: 10.1016/j.physa.2009.12.054

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