Summary
Earlier arguments for an upper bound on entropy depend on considerations of black holes or on classical approximations for systems of noninteracting particles. Here the bounds are deduced from quantum statistical considerations only. They are also extended to incorporate interacting particles and fields (modelled by a set of harmonic oscillators).
Similar content being viewed by others
References
J. D. Bekenstein:Phys. Rev. D,23, 287 (1981);27, 2262 (1983);30, 1669 (1984).
S. W. Hawking:Commun. Math. Phys.,43, 199 (1975);G. W. Gibbons andS. W. Hawking:Phys. Rev. D,15, 2738 (1977).
J. D. Bekenstein:Gen. Relativ. Gravit.,14, 355 (1982).
W. Unruh andR. M. Wald:Phys. Rev. D,25, 942 (1982).
J. D. Bekenstein:Phys. Rev. D,7, 2333 (1973). See also,C. W. Misner, K. S. Thorne andJ. A. Wheeler:Gravitation (Freeman, 1972).
E. Joos: Preprint of Centre for Theoretical Physics, University of Texas at Austin (1987).
A. Qadir:Phys. Lett. A,95, 285 (1983).
I. Khan andA. Qadir:Lett. Nuovo Cimento,41, 493 (1984).
W. H. Zurek andK. S. Thorne:Phys. Rev. Lett.,54, 2171 (1985).
A. Wehrl:Rev. Mod. Phys.,50, 221 (1978).
See, for example,R. Jancel:Foundations of Classical and Quantum Statistical Mechanics (Pergamon Press, 1963).
M. Schiffer andJ. D. Bekenstein:Phys. Rev. D,39, 1109 (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Joos, E., Qadir, A. A quantum statistical upper bound on entropy. Nuov Cim B 107, 563–572 (1992). https://doi.org/10.1007/BF02723633
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02723633