16 citations · 42 across the 17 of their papers we have counts for
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Isometric Entanglement of Particle Positions in Quantum Bound Systems
Robert J. Ducharme
It is shown the role of a scalar potential in the Schrödinger equation for a steady-state two-particle system is equivalent to an isometric entanglement of the position coordinates…
Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin
Robert J. Ducharme
The term describing the coupling between total angular momentum and energy-momentum in the hydrogen atom is isolated from the radial Dirac equation and used to replace the correspo…
Conformal Mapping of Relativistic Quantum Bound Systems to Eliminate Potential Fields
Robert J. Ducharme
In two recent papers, an isometric conformal transformation has been introduced that eliminates potential interaction terms from the Schrödinger equation for central potential prob…
Conformal Transformation of the Schrödinger Equation for Central Potential Problems in Three-Dimensions
Robert J. Ducharme
In a recent paper, it has been shown the Schrödinger equation for the three-dimensional harmonic oscillator can be simplified through the use of an isometric conformal transformati…
Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form
Robert J. Ducharme
The Schrödinger equation and ladder operators for the harmonic oscillator are shown to simplify through the use of an isometric conformal transformation. These results are discusse…