On the Virial Theorem in Quantum Mechanics |
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| Authors: | V. Georgescu C. Gérard |
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| Affiliation: | CNRS, Département de Mathématiques, Université de Cergy-Pontoise, 2 avenue Adolphe Chauvin,?95302 Cergy-Pontoise Cedex, France, FR
Centre de Mathématiques, UMR 7640 CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France, FR
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| Abstract: | We review the various assumptions under which abstract versions of the quantum mechanical virial theorem have been proved. We point out a relationship between the virial theorem for a pair of operators H, A and the regularity properties of the map . We give an example showing that the statement of the virial theorem in [CFKS] is incorrect. Received: 7 January 1999 / Accepted: 2 June 1999 |
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