4 papers
Conjugate Spinor Solution of the Dirac Equation for the Hydrogen Atom
Robert J. Ducharme
It is shown the central field Dirac equation can be simplified through the use of real conjugate spinors to substitute for the upper and lower components of the bi-spinor eigensolu…
Integral Transforms in Relativistic Quantum Constraint Mechanics
Robert J. Ducharme
In relativistic quantum constraint mechanics the state of a physical system is constrained to a 3-dimensional subspace of Minkowski 4-space. Fourier transformation can be used to r…
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…
Relativistic Ladder Operators for the Three-Dimensional Harmonic Oscillator
Robert J. Ducharme
The quantum constraint equations for a relativistic three-dimensional harmonic oscillator are shown to find concise expression in terms of Lorentz covariant ladder operators. These…