277 citations · 773 across the 43 of their papers we have counts for
40 papers
Phase Space Formulation of Quantum Mechanics as an Hidden Variables Theory
M. Revzen
An hidden variable (hv) theory is a theory that allows globally dispersion free ensembles. We demonstrate that the Phase Space formulation of Quantum Mechanics (QM) is an hv theory…
Von Neumann's No Hidden Variable Theorem
Michael Revzen
Von Neumann use 4 assumptions to derive the Hilbert space (HS) formulation of quantum mechanics (QM). Within this theory dispersion free ensembles do not exist. To accommodate a th…
The Uncertainty Principle Revisited
Ady Mann, Pier A. Mello, Michael Revzen
We study the quantum-mechanical uncertainty relation originating from the successive measurement of two observables and , with eigenvalues and , respe…
A Kolmogorov proof of the Clauser, Horne, Shimony and Holt inequalities
M. Revzen
Boolean logic is used to prove the CHSH inequalities. The proof elucidates the connection be- tween Einstein elements of reality and quantum non locality. The violation of the CHSH…
Finite Linear Spaces, Plane Geometries, Hilbert spaces and Finite Phase Space
M. Revzen, A. Mann
Finite plane geometry is associated with finite dimensional Hilbert space. The association allows mapping of q-number Hilbert space observables to the c-number formalism of quantum…
A Family of Weyl-Wigner Transforms for Discrete Variables Defined in a Finite-Dimensional Hilbert Space
Ady Mann, Pier A. Mello, Michael Revzen
We study the Weyl-Wigner transform in the case of discrete variables defined in a Hilbert space of finite prime-number dimensionality . We define a family of Weyl-Wigner transfo…