Showing quant-phShow all
3 papers · 1 filter
quant-ph2014
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…
quant-ph2011
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…
quant-ph2008
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…