Phase Space Formulation of Quantum Mechanics. Insight into the Measurement Problem

Abstract

A phase space mathematical formulation of quantum mechanical processes accompanied by and ontological interpretation is presented in an axiomatic form. The problem of quantum measurement, including that of quantum state filtering, is treated in detail. Unlike standard quantum theory both quantum and classical measuring device can be accommodated by the present approach to solve the quantum measurement problem

29 pages, 4 figures

References in corpus (5)

• Decoherence, einselection, and the quantum origins of the classical
• Sub-Planck spots of Schroedinger cats and quantum decoherence
• Phase Space Correspondence between Classical Optics and Quantum Mechanics
• The "Symplectic Camel Principle" and Semiclassical Mechanics
• The Interference Term in the Wigner Distribution Function and the Aharonov-Bohm Effect

Cited by in corpus (11)

• Quantum Blobs
• Study on a Phase Space Representation of Quantum Theory
• Nonclassical properties of electronic states of aperiodic chains in a homogeneous electric field
• Standard Quantum Mechanics without observers
• Probabilistic aspects of Wigner function
• Study on linear canonical transformation in a framework of a phase space representation of quantum mechanics
• Special Relativity in Quantum Phase Space
• Symplectic Non-Squeezing Theorems, Quantization of Integrable Systems, and Quantum Uncertainty
• Evolution Law of Quantum Observables from Classical Hamiltonian in Non-Commutative Phase Space
• Dispersed Indeterminacy
• On the Quantum-Classical Character of the Quantum Wavefunction of Material Particles