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arXiv · 1912.04842

Application of Modified Hypervirial and Ehrenfest Theorems and Some of its Consequences

Anzor Khelashvili·Teimuraz Nadareishvili
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Abstract

It is well-known that owing to the restricted character of the area additional surface terms emerge in the traditional form of hypervirial and/or Ehrenfest theorems. Especially, when one considers spherically symmetric potentials and operators the radial distance in spherical coordinates is restricted by a half-plane. Therefore the extra term arises in this case as well in view of boundary conditions at the origin of coordinates. We analyse the role of this term for various model-potentials in the Schrodinger equation. We consider regular as well as soft-singular potentials and show that the inclusion of this extra term is very essential in obtaining correct physical results. Among the well-known results some new ones are also derived.

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Anzor Khelashvili, Teimuraz Nadareishvili. 2019-12-08. Application of Modified Hypervirial and Ehrenfest Theorems and Some of its Consequences. https://doi.org/10.1134/s1063779621010020

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