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.
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More From: Journal of Pseudo-Differential Operators and Applications
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