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Zhou, Yun-Song; Zhao, Li-Ming; Wei, Gong-Min

Influence of the adiabatic process on a quantum system demonstrated using the energy conservation principle. (English) Zbl 1527.81011

Eur. J. Phys. 42, No. 5, Article ID 055101, 6 p. (2021).

MSC:

81P17 Quantum entropies
70H11 Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics
47A10 Spectrum, resolvent
22E70 Applications of Lie groups to the sciences; explicit representations
81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory
82-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics

Keywords:

adiabatic; energy conservation; entropy; transition
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References:

[1] Rankine, W. J M., A Manual of Applied Mechanics (1858), London: Charles Grinffin and Company, London · JFM 35.0693.08
[2] Laidler, K. J., The meaning of ‘adiabatic’, Can. J. Chem., 72, 936 (1994) · doi:10.1139/v94-121
[3] Wien, W., Sitz. Ber., p 55 (1893), Berlin: Preuss. Akad. Wiss., Berlin
[4] Born, M.; Oppenheimer, R., Quantum theory of molecules, Ann. Phys., 84, 0457-0484 (1927) · JFM 53.0845.04 · doi:10.1002/andp.19273892002
[5] Giuseppe, G.; Giuseppe, P. P., Solid State Physics (2000), London: Academic, London
[6] Berry, M. V., Quantal phase factors accompanying adiabatic changes, Proc. R. Soc. A, 392, 45 (1984) · Zbl 1113.81306 · doi:10.1098/rspa.1984.0023
[7] Sakurai, J. J., Modern Quantum Mechanics Revised Edition, p 464 (1994), London: Addison-Wesley, London
[8] Einstein, A., Beitrge zur quantentheorie, Deutsche Phys. Gesellschaft. Verh, vol 16 (1914)
[9] Toda, M.; Kubo, R.; Saito, N., Equilibrium Statistical Physics I (1983), Berlin: Springer, Berlin
[10] Griffiths, D. J., Introduction to Quantum Mechanics, p 07458 (1995), Englewood Cliffs, NJ: Prentice-Hall, Englewood Cliffs, NJ · Zbl 0818.00001
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