The Finite temperature real time H-bar**2 corrections in quantum mechanics
May, 199728 pages
Published in:
- Nucl.Phys.B 513 (1998) 445-470
e-Print:
- hep-ph/9705312 [hep-ph]
Report number:
- HD-THEP-97-18
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Abstract:
We study non-perturbative real time correlation functions at finite temperature. In order to see whether the classical term gives a good approximation in the high temperature limit T >> \hbar\omega, we consider the first \hbar~2 quantum corrections. We find that for the simplest non-trivial case, the quantum mechanical anharmonic oscillator, the classical result is reliable only for moderately large times: after some time t_* the classical approximation breaks down even at high temperatures. Moreover, the result for the first quantum corrections cannot, in general, be reproduced by modifying the parameters of the classical theory.Note:
- 28 pages, 7 figures
- 11.10.Wx
- 11.15.Kc
- 11.30.Fs
- Finite temperature
- Real-time correlation functions
- Classical limit
- Quantum corrections
- quantum mechanics
- correlation function: nonperturbative
- finite temperature
References(33)
Figures(7)