Complete sets of diagonal operators in quantum-statistical mechanics

W.J. Caspers; H.P. van de Braak; P.W. Verbeek; J.C. Verstelle

doi:10.1016/0031-8914(71)90071-1

Complete sets of diagonal operators in quantum-statistical mechanics

W.J. Caspers, H.P. van de Braak, P.W. Verbeek, J.C. Verstelle

Faculty of Science and Technology

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Abstract

Complete sets of diagonal operators, i.e. operators commuting with the hamiltonian of a physical system, are constructed. In terms of these sets all diagonal operators can be written as a series, the uniform convergence of which is studied for infinitely large systems. This uniform convergence is introduced as a possible criterion for ergodicity.

Original language	English
Pages (from-to)	210-224
Journal	Physica
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/0031-8914(71)90071-1
Publication status	Published - 1971

Keywords

IR-68114

Access to Document

10.1016/0031-8914(71)90071-1

Caspers71completeFinal published version, 784 KB

Cite this

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title = "Complete sets of diagonal operators in quantum-statistical mechanics",

abstract = "Complete sets of diagonal operators, i.e. operators commuting with the hamiltonian of a physical system, are constructed. In terms of these sets all diagonal operators can be written as a series, the uniform convergence of which is studied for infinitely large systems. This uniform convergence is introduced as a possible criterion for ergodicity.",

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AB - Complete sets of diagonal operators, i.e. operators commuting with the hamiltonian of a physical system, are constructed. In terms of these sets all diagonal operators can be written as a series, the uniform convergence of which is studied for infinitely large systems. This uniform convergence is introduced as a possible criterion for ergodicity.

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