On coherent-state representations of quantum mechanics: Wave mechanics in phase space

On coherent-state representations of quantum mechanics: Wave mechanics in phase space

ESSAY REVIEW Quantum Mechanics on Phase Space

In the Preface, the author states that his aim is to &present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics'. The way he realises his "rst three aims places Schroeck in the small and dedic...

On Quantum Mechanics on Noncommutative Quantum Phase Space

In this work, we develop a general framework in which Noncommutative Quantum Mechanics (NCQM), characterized by a space noncommutativity matrix parameter θ = ǫ k ij θk and a momentum noncommutativity matrix parameter βij = ǫ k ij βk, is showed to be equivalent to QuantumMechanics (QM) on a suitable transformed Quantum Phase Space (QPS). Imposing some constraints on this particular transformatio...

An extended phase space for Quantum Mechanics

The standard formulation of Quantum Mechanics violates locality of interactions and the action reaction principle. An alternative formulation in an extended phase space could preserve both principles, but Bell’s theorems show that a distribution of probability in a space of local variables can not reproduce the quantum correlations. An extended phase space is defined in an alternative formulati...

Probability in the Formalism of Quantum Mechanics on Phase Space

The methods of Born and Einstein are used to obtain the probability density in the formalism of quantum mechanics on phase space. The resulting probability leads to a contextual measurement scheme. We give ramifications for paradoxes in standard quantum mechanics.