Inequalities pp 367-376 | Cite as

Quantum Coherent Operators: A Generalization of Coherent States

  • Elliott H. Lieb
  • Jan Philip Solovej


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.


Coherent State Spin Operator Heisenberg Model National Science Foundation Grant Operator Completeness 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Elliott H. Lieb
    • 2
  • Jan Philip Solovej
    • 1
    • 3
  1. 1.Institute for Advanced StudySchool of MathematicsPrincetonUSA
  2. 2.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA
  3. 3.Department of MathematicsPrinceton UniversityPrincetonUSA

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