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The virial theorem for a class of singular pseudo-differential operators on \({\mathbb {R}}^n\)

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Abstract

A quantum mechanical version of the virial theorem for singular pseudo-differential operators modelling relativistic Hamiltonians on \({\mathbb {R}}^n\) is established and nonexistence of eigenvalues of the singular pseudo-differential operators are derived using the virial theorem.

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Authors and Affiliations

  1. Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Gava Zang, P.O. Box 45195-1159, 45137-66731, Zanjan, Iran

    Shahla Molahajloo

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  1. Shahla Molahajloo
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Correspondence to Shahla Molahajloo.

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Molahajloo, S. The virial theorem for a class of singular pseudo-differential operators on \({\mathbb {R}}^n\) . J. Pseudo-Differ. Oper. Appl. 6, 187–196 (2015). https://doi.org/10.1007/s11868-015-0117-9

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  • DOI: https://doi.org/10.1007/s11868-015-0117-9

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