Statistical properties of the Hamiltonian generating phase state derived by using the generalized Hellmann-Feynman theorem |
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| Authors: | Hong-yi Fan Li-yun Hu |
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| Affiliation: | a Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China
b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
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| Abstract: | We study statistical properties of the Hamiltonian  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  . The relation on the entropy-variation with respect to the dynamic parameters ω and κ is also examined. |
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| Keywords: | Harmonic oscillator Phase state Statistical properties Generalized Hellmann-Feynman theorem |
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