Thermodynamic aspects of Schrödinger's probability relations
- 63 Downloads
Using Schrödinger's generalized probability relations of quantum mechanics, it is possible to generate a canonical ensemble, the ensemble normally associated with thermodynamic equilibrium, by at least two methods, statistical mixing and subensemble selection, that do not involve thermodynamic equilibration. Thus the question arises as to whether an observer making measurements upon systems from a canonical ensemble can determine whether the systems were prepared by mixing, equilibration, or selection. Investigation of this issue exposes antinomies in quantum statistical thermodynamics. It is conjectured that resolution of these paradoxes may involve a new law of motion in quantum dynamics.
KeywordsQuantum Mechanic Thermodynamic Equilibration Generalize Probability Statistical Thermodynamic Probability Relation
Unable to display preview. Download preview PDF.
- 1.E. Schrödinger,Proc. Cambridge Philos. Soc. 31, 555 (1935).Google Scholar
- 2.E. Schrödinger,Proc. Cambridge Philos. Soc. 32, 446 (1936).Google Scholar
- 3.J. L. Park and W. Band,Found. Phys. 1, 211 (1971).Google Scholar
- 4.G. N. Hatsopoulos and E. P. Gyftopoulos,Found. Phys. 6, 15, 127, 439, 561 (1976).Google Scholar
- 5.B. d'Espagnat,Conceptual Foundations of Quantum Mechanics (Benjamin, London, 1976), p. 58.Google Scholar
- 6.G. P. Beretta, E. P. Gyftopoulos, J. L. Park, and G. N. Hatsopoulos,Nuovo Cimento B 82, 169 (1984).Google Scholar
- 7.G. P. Beretta, E. P. Gyftopoulos, and J. L. Park,Nuovo Cimento B 87, 77 (1985).Google Scholar