13 citations · 43 across the 17 of their papers we have counts for
17 papers
Spin Entanglement -- A Unifying Principle for Superconductors and Molecular Bonding
Paul O'Hara
The spin-statistics theorem is generalized to include quantum entanglement. Specifically, within the context of spin entanglement, we prove that isotropic spin-correlated (ISC) sta…
Wave-particle duality and the zitterbewegung
Paul O'Hara
In previous work, the Hamilton-Jacobi equation has been associated with the metrics of general relativity and shown to be a generalized Dirac equation for quantum mechanics. This l…
The Einstein-Podolsky-Rosen Paradox and SU(2) relativity
Paul O'Hara
The EPR paradox dates back to 1935 when Einstein et al., through the use of non commuting operators, proposed that quantum mechanics was not complete in that it suggested a `spooky…
A generalized spin statistics theorem
Paul O'Hara
In this article we generalize the spin statistics theorem and show that a state obeys Fermi-Dirac statistics if and only if the state is invariant under the action of . We…
Brownian Motion and General Relativity
Paul O'Hara, Lamberto Rondoni
We construct a model of Brownian Motion on a pseudo-Riemannian manifold associated with general relativity. There are two aspects of the problem: The first is to define a sequence…
Constants of the Motion in a Gravitational Field and the Hamilton-Jacobi Function
Paul O'Hara
In most text books of mechanics, Newton's laws or Hamilton's equations of motion are first written down and then solved based on initial conditions to determine the constants of th…