5 papers · 1 filter
Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
Peter Holland
We discuss the particle method in quantum mechanics which provides an exact scheme to calculate the time-dependent wavefunction from a single-valued continuum of trajectories where…
What's wrong with Einstein's 1927 hidden-variable interpretation of quantum mechanics?
Peter Holland
Einstein's unpublished 1927 deterministic trajectory interpretation of quantum mechanics is critically examined, in particular with regard to the reason given by Einstein for rejec…
Uniqueness of conserved currents in quantum mechanics
Peter Holland
It is proved by a functional method that the conventional expression for the Dirac current is the only conserved 4-vector implied by the Dirac equation that is a function of just t…
Implications of Lorentz covariance for the guidance equation in two-slit quantum interference
Peter Holland, Chris Philippidis
It is known that Lorentz covariance fixes uniquely the current and the associated guidance law in the trajectory interpretation of quantum mechanics for spin particles. In the non-…
Simple applications of Noether's first theorem in quantum mechanics and electromagnetism
Harvey R. Brown, Peter Holland
Internal global symmetries exist for the free non-relativistic Schrödinger particle, whose associated Noether charges--the space integrals of the wavefunction and the wavefunction…