QP-PQ, quantum probability and white noise analysis

PREQUANTUM CLASSICAL STATISTICAL FIELD THEORY: DERIVATION OF GAUSSIANITY OF PROBABILITY DISTRIBUTIONS

Andrei Yu. Khrennikov

Published Jan 1, 2013• 0 citations

Publisher

DOI: 10.1142/9789814447546_0012

Related papers

CLASSICAL AND QUANTUM STATISTICAL PHYSICS

Jean Zinn‐Justin

Oxford University Press eBooksNov 18, 20040 citations

SOME CANONICAL TRANSFORMATIONS OF QUANTUM FIELD THEORY AND STATISTICAL MECHANICS.

O. I. Zav'yalov, V. N. Sushko

Jan 1, 19681 citation

Nonlinear Schrödinger equations from prequantum classical statistical field theory

Andrei Yu. Khrennikov

arXiv:quant-ph/0602210Physics Letters AMay 3, 200663 citations

EXTENSIONS OF QUANTUM THEORY CANONICALLY ASSOCIATED TO CLASSICAL PROBABILITY MEASURES

Luigi Accardi

Lecture notes series, Institute For Mathematical SciencesAug 25, 20171 citation

Prequantum classical statistical field theory: Time scale of fluctuations

Andrei Yu. Khrennikov

Doklady MathematicsJun 1, 20075 citations

THE POSSIBILITY OF RECONCILING QUANTUM MECHANICS WITH CLASSICAL PROBABILITY THEORY ∗

D. A. Slavnov

We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical subsystems. This allows using the formal classical logic and classical probability theory in quantum mechanics. Our approach nevertheless allows completely reproducing the standard mathematical formalism of quantum mechanics and identifying its applicability limits. We especially attend to the quantum state reduction problem.

Jan 1, 200714 citations