Stochastic variational quantization and maximum entropy principle

doi:10.1134/s1063779615050135

DOE OSTI · 22977414

Stochastic variational quantization and maximum entropy principle

Abstract

In this note, we discuss the stochastic variational method (SVM) to derive the action principle of Schrödinger equation. In this formalism, the wave function is introduced as one of convenient ways to express the action. This work is a reformulation of Nelson—Yasue’s stochastic quantization scheme and its variational formulation by Yasue, and will furnish possible way to deal with more complicated system such as quantum field theory, suggesting an origin of quantum mechanics.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTIZATION QUANTUM FIELD THEORY QUANTUM MECHANICS STOCHASTIC PROCESSES VARIATIONAL METHODS WAVE FUNCTIONS

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2015-09-15. Stochastic variational quantization and maximum entropy principle. https://doi.org/10.1134/s1063779615050135

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