JMP  Vol.3 No.12 , December 2012
Entropy of a Free Quantum Particle
Author(s) Jian-Ping Peng*
The time-dependent entropy of a single free quantum particle in the non-relativistic regime is studied in detail for the process started from a fully coherent quantum state to thermodynamic equilibrium with its surroundings at a finite temperature. It is shown that the entropy at the end of the process converges to a universal constant, as a result of thermal interaction.

Cite this paper
J. Peng, "Entropy of a Free Quantum Particle," Journal of Modern Physics, Vol. 3 No. 12, 2012, pp. 1914-1917. doi: 10.4236/jmp.2012.312241.
[1]   L. D. Landau and E. M. Lifshitz, “Statistical Physics,” 3rd Edition, Pergamon Press Ltd., Oxford, 1980.

[2]   J. P. Peng, “Temperature Dependent Motion of a Massive Quantum Particle,” Journal of Modern Physics, Vol. 3, 2012, pp. 610-614. doi:10.4236/jmp.2012.37083

[3]   G. P. Beretta, “Entropy and Irreversibility for a Single Isolated Two Level System: New Individual Quantum States and New Nonlinear Equation of Motion,” International Journal of Theoretical Physics, Vol. 24, No. 2, 1985, pp. 119-134. doi:10.1007/BF00672647

[4]   I. S. Gradshteyn and I. M. Rizhik, “Tables of Integrals, Series, and Products,” 7th Edition, Elservier Inc., London, 2007.

[5]   S. Gheorghiu-Svirschevski, “Nonlinear Quantum Evolution with Maximal Entropy Production,” Physical Review A, Vol. 63, 2001, Article ID: 022105.

[6]   M. Plischke and B. Bergersen, “Equilibrium Statistical Physics,” 2nd Edition, World Scientific Publishing Co. Pte. Ltd., 2003.