Quantum coherent operators: A generalization of coherent states

Elliott H. Lieb; Jan Philip Solovej

doi:10.1007/BF00405179

Quantum coherent operators: A generalization of coherent states

Elliott H. Lieb, Jan Philip Solovej

Mathematics

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

20 Scopus citations

Abstract

We introduce a technique to compare different, but related, quantum systems, thereby generalizing the way that coherent states are used to compare quantum systems to classical systems in semiclassical analysis. We then use this technique to estimate the dependence of the free energy of the quantum Heisenberg model on the spin value, and to estimate the relation between the ferromagnetic and antiferromagnetic free energies.

Original language	English (US)
Pages (from-to)	145-154
Number of pages	10
Journal	Letters in Mathematical Physics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/BF00405179
State	Published - Jun 1991

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

AMS subject classifications (1991): 81R30, 81S30

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10.1007/BF00405179

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title = "Quantum coherent operators: A generalization of coherent states",

abstract = "We introduce a technique to compare different, but related, quantum systems, thereby generalizing the way that coherent states are used to compare quantum systems to classical systems in semiclassical analysis. We then use this technique to estimate the dependence of the free energy of the quantum Heisenberg model on the spin value, and to estimate the relation between the ferromagnetic and antiferromagnetic free energies.",

keywords = "AMS subject classifications (1991): 81R30, 81S30",

author = "Lieb, {Elliott H.} and Solovej, {Jan Philip}",

year = "1991",

month = jun,

doi = "10.1007/BF00405179",

language = "English (US)",

volume = "22",

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journal = "Letters in Mathematical Physics",

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T1 - Quantum coherent operators

T2 - A generalization of coherent states

AU - Lieb, Elliott H.

AU - Solovej, Jan Philip

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Y1 - 1991/6

N2 - We introduce a technique to compare different, but related, quantum systems, thereby generalizing the way that coherent states are used to compare quantum systems to classical systems in semiclassical analysis. We then use this technique to estimate the dependence of the free energy of the quantum Heisenberg model on the spin value, and to estimate the relation between the ferromagnetic and antiferromagnetic free energies.

AB - We introduce a technique to compare different, but related, quantum systems, thereby generalizing the way that coherent states are used to compare quantum systems to classical systems in semiclassical analysis. We then use this technique to estimate the dependence of the free energy of the quantum Heisenberg model on the spin value, and to estimate the relation between the ferromagnetic and antiferromagnetic free energies.

KW - AMS subject classifications (1991): 81R30, 81S30

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U2 - 10.1007/BF00405179

DO - 10.1007/BF00405179

M3 - Article

AN - SCOPUS:0038692147

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VL - 22

SP - 145

EP - 154

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 2

ER -

Quantum coherent operators: A generalization of coherent states

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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