Quantum coherent operators: A generalization of coherent states |
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| Authors: | Elliott H Lieb Jan Philip Solovej |
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| Institution: | (1) Department of Mathematics, Princeton University, PO Box 708, 08544-0708 Princeton, NJ, USA;(2) Department of Physics, Princeton University, PO Box 708, 08544-0708 Princeton, NJ, USA;(3) School of Mathematics, Institute for Advanced Study, 08540 Princeton, NJ, USA;(4) Present address: Department of Mathematics, Princeton University, Fine Hall, Washington Road, 08544-1000 Princeton, NJ, USA |
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| 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.Work supported in part by the U.S. National Science Foundation grant PHY-9019433.Work supported in part by the U.S. National Science Foundation grant DMS-9002416. |
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| Keywords: | 81R30 81S30 |
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