Dispersion-free normal states

R. J. Plymen

doi:10.1007/BF02825800

Dispersion-free normal states

R. J. Plymen

Mathematics - Administration

Research output: Contribution to journal › Article › peer-review

Abstract

A structure theorem is given for W*-algebras which admit dispersion-free normal states. This theorem is a generalization of von Neumann's classical theorem that dispersion-free density matrices do not exist in quantum mechanics.

Original language	English
Pages (from-to)	862-870
Number of pages	9
Journal	Il Nuovo Cimento A
Volume	54
Issue number	4
DOIs	https://doi.org/10.1007/BF02825800
Publication status	Published - 1 Apr 1968

Keywords

Separable Hilbert Space
Structure Theorem
Central Projection
Classical Theorem
Faithful Representation

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title = "Dispersion-free normal states",

abstract = "A structure theorem is given for W*-algebras which admit dispersion-free normal states. This theorem is a generalization of von Neumann's classical theorem that dispersion-free density matrices do not exist in quantum mechanics.",

keywords = "Separable Hilbert Space, Structure Theorem, Central Projection, Classical Theorem, Faithful Representation",

author = "Plymen, {R. J.}",

year = "1968",

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doi = "10.1007/BF02825800",

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volume = "54",

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journal = "Il Nuovo Cimento A",

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AB - A structure theorem is given for W*-algebras which admit dispersion-free normal states. This theorem is a generalization of von Neumann's classical theorem that dispersion-free density matrices do not exist in quantum mechanics.

KW - Separable Hilbert Space

KW - Structure Theorem

KW - Central Projection

KW - Classical Theorem

KW - Faithful Representation

U2 - 10.1007/BF02825800

DO - 10.1007/BF02825800

M3 - Article

VL - 54

SP - 862

EP - 870

JO - Il Nuovo Cimento A

JF - Il Nuovo Cimento A

IS - 4

ER -

Dispersion-free normal states

Abstract

Keywords

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