Establishing correspondence between the reformulation of quantum mechanics without a potential function and the conventional formulation

Abstract

Within the recent reformulation of quantum mechanics where a potential function is not required, we show how to reconstruct the potential so that a correspondence with the standard formulation could be established. However, severe restriction is placed by the correspondence on the kinematics of such problems.

27 pages, 9 figures

References in corpus (2)

• Solution of the nonrelativistic wave equation in the tridiagonal representation approach
• The Wilson-Racah Quantum System

Cited by in corpus (11)

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• The Hahn Quantum System
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• Electric dipole and quadrupole contributions to valence electron binding in a charge-screening environment
• Exact solvability of two new 3D and 1D nonrelativistic potentials within the TRA framework
• Energy spectrum design and potential function engineering
• Potential Function Of the Wilson--Racah Quantum System
• Confined systems associated with the discrete Meixner polynomials
• Electrostatic multipole contributions to the binding energy of electrons