Stochastic variational quantization and maximum entropy principle

摘要

In this note, we discuss the stochastic variational method (SVM) to derive the action principle of Schrodinger 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.