Quantum Coherent Operators: A Generalization of Coherent States

Elliott H. Lieb and Jan Philip Solovej
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Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics
Jan Philip Solovej: School of Mathematics, Institute for Advanced Study

A chapter in Inequalities, 2002, pp 367-376 from Springer

Abstract: 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: Coherent State; Spin Operator; Heisenberg Model; National Science Foundation Grant; Operator Completeness (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_31

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DOI: 10.1007/978-3-642-55925-9_31

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