4 papers
Nanocircuits in loop structures: continuous waves preclude gauge invariant wavelengths
Arthur Davidson
Tunnel junctions for quantum computing require discrete spectra from continuous waves on a doubly connected coordinate or loop. For an electron on a metal ring discrete spectra fol…
Quantum Mechanics on a Ring: Continuity versus Gauge Invariance
Arthur Davidson
Remarkably we find that for a ring with linear boundary conditions such that the eigenvector and its derivative are continuous, there does not seem to be a way for the well-known d…
Nonlinear Boundaries in Quantum Mechanics
Arthur Davidson
Based on empirical evidence, quantum systems appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a one…
Re-Thinking Schroedinger Boundary Conditions: the Simple Rotator is Not Simple
Arthur Davidson
A contradiction arises when applying standard boundary conditions to a simple quantum rotator with a single coordinate. New boundary conditions for the Schroedinger equation are pr…