Skip to main content
SpringerLink
Log in

Quantum microcanonical entropy of a pair of observables

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

The quantum analogue of the classical theory of the joint microcanonical entropy of a pair of observables is investigated for a system of a large number of identical non-interacting subsystems. It is shown that the quantum joint entropy coincides with the classical joint entropy of an appropriately chosen auxiliary classical system, and known results for classical systems are applied to prove the equivalence of the quantum microcanonical and quantum canonical ensembles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Lanford III, O.E.: Entropy and equilibrium states in classical statistical mechanics. In: Lenard, A. (ed.): Statistical mechanics and mathematical problems, battelle Seattle 1971 Rencontres, pp. 1–113. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, California, USA

    L. Truong

Authors
  1. L. Truong
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by G. Gallavotti

Rights and permissions

Reprints and permissions

About this article

Cite this article

Truong, L. Quantum microcanonical entropy of a pair of observables. Commun.Math. Phys. 39, 207–219 (1974). https://doi.org/10.1007/BF01614241

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01614241

Keywords

Search

Navigation