41 citations · 55 across the 8 of their papers we have counts for
8 papers
Time dispersion in bound states
John Ashmead
In quantum mechanics time is generally treated as a parameter rather than an observable. For instance wave functions are treated as extending in space, but not in time. But from re…
Time dispersion in quantum electrodynamics
John Ashmead
If we use the path integral approach, we can write quantum electrodynamics (QED) in a way that is manifestly relativistic. However the path integrals are confined to paths that are…
Does the Heisenberg uncertainty principle apply along the time dimension?
John Ashmead
Does the Heisenberg uncertainty principle (HUP) apply along the time dimension in the same way it applies along the three space dimensions? Relativity says it should; current pract…
Time dispersion and quantum mechanics
John Ashmead
In quantum mechanics the time dimension is treated as a parameter, while the three space dimensions are treated as observables. This assumption is both untested and inconsistent wi…
Quantum Time
John Ashmead
Normally we quantize along the space dimensions but treat time classically. But from relativity we expect a high level of symmetry between time and space. What happens if we quanti…
Morlet wavelets in quantum mechanics
John Ashmead
Wavelets offer significant advantages for the analysis of problems in quantum mechanics. Because wavelets are localized in both time and frequency they avoid certain subtle but pot…
A Stern-Gerlach Experiment in Time
John Ashmead
In non-relativistic quantum mechanics, path integrals are normally derived from the Schroedinger equation. This assumes the two formalisms are equivalent. Since time plays a very d…
Uncollapsing the wave function
John Ashmead
The space quantization induced by a Stern-Gerlach experiment is normally explained by invoking the ``collapse of the wave function.'' This is a rather mysterious idea; it would be…