Hypervirial and Ehrenfest theorems in spherical coordinates: systematic approach

@inproceedings{Khelashvili2018HypervirialAE,
  title={Hypervirial and Ehrenfest theorems in spherical coordinates: systematic approach},
  author={Anzor A. Khelashvili and Teimuraz P. Nadareishvili},
  year={2018}
}
Elaboration of some fundamental relations in three dimensional quantum mechanics is considered taking into account the restricted character of areas in radial distance. In such cases the boundary behavior of the radial wave function and singularity of operators at the origin of coordinates contribute to these relations. We derive the relation between the average value of the operator time derivative and the time derivative of mean value of this operator, which is usually considered to be the… CONTINUE READING

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