The thermal Green functions in nonextensive quantum statistical mechanics
College of Science and Technology, Nihon University, Funabashi, Chiba 274-8501, Japan
Corresponding author: a email@example.com
Published online: 15 June 1999
The thermal Green functions of the quantum-mechanical harmonic oscillator are constructed within the framework of nonextensive statistical mechanics with normalized q-expectation values. For the Tsallis index q greater than unity, these functions are found to be expressed analytically in terms of the Hurwitz zeta function. It is found that influence of the nonextensivity on the time-ordered thermal propagator is relevant only at the "on-shell" states. In particular, the finite-temperature contribution to the thermal propagator becomes enhanced for the strong nonextensivity.
PACS: 05.30.-d – Quantum statistical mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999