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The hypervirial and viral theorems in terms of Weyl symbols

  • L. Cohen
Article
  • 37 Downloads

Abstract

We formulate the hypervirial and virial theorems in terms of symbols. We use the Weyl correspondence to relate symbols to operators and express the standard operator forms of the hyperverial and virial theorems in terms of Weyl symbols and Wigner distribution. We obtain explicit expressions for the relevant symbols. We also give a phase space operator formulation. Special cases are considered, and the theorem of Molahajloo is shown to be a such a case. We also consider the off-diagonal hyperverial theorem.

Keywords

Hypervirial theorem Virial theorem Weyl symbols Wigner distribution Generalized phase-space distributions 

Mathematics Subject Classification

Primary 47G30 Secondary 81S30 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Hunter College and Graduate CenterCity University of New YorkNew YorkUSA

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