Intermediate quantum statistics for identical objects
type: Item
instance of: scholarly article
title: Intermediate quantum statistics for identical objects
zbMATH Open document ID: 0664.46078
DOI: 10.1007/BF00671316
author: V. V. Kuryshkin
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: Methods to construct various algebras of creation and annihilation operators of physical objects in complex quantum state spaces with a nonnegative metric are proposed. All allowed algebras for the case of identical nonrelativistic systems in the second quantization of the Schrödinger equation, of identical quanta of relativistic tensor fields, and of identical quanta of relativistic spinor fields are constructed. A comparison of the obtained algebras with the well-known algebras of this type (Fermi, Bose, para-Fermi, and superalgebras) is given.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 17A70
Mathematics Subject Classification ID: 82B10
zbMATH DE Number: 4086352
zbMATH Keywords: algebras of creation and annihilation operators
zbMATH Keywords: complex quantum state spaces with a nonnegative metric
zbMATH Keywords: identical nonrelativistic systems
zbMATH Keywords: second quantization of the Schrödinger equation
zbMATH Keywords: identical quanta of relativistic tensor fields
zbMATH Keywords: identical quanta of relativistic spinor fields
zbMATH Keywords: superalgebras
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4086352