Inverse momentum expectation values for hydrogenic systems

Abstract

By using the Fourier transforms of the general hydrogenic bound state wave functions (as ultraspherical polynomials) one may find expectation values of arbitrary functions of momentum p. In this manner the effect of a reciprocity perturbation 1/p can be evaluated for all hydrogenic states.

14 pages, no figures, LaTeX file

References in corpus (4)

• Representations of the Canonical group, (the semi-direct product of the Unitary and Weyl-Heisenberg groups), acting as a dynamical group on noncommuting extended phase space
• World-line Quantisation of a Reciprocally Invariant System
• Born reciprocity and the granularity of space-time
• Born reciprocity and the 1/r potential

Cited by in corpus (3)

• Entropy and complexity analysis of hydrogenic Rydberg atoms
• Heisenberg-like uncertainty measures for $D$-dimensional hydrogenic systems at large D
• Multidimensional hydrogenic states: Position and momentum expectation values