1306.6922 (T. Koide et al.)

Quantization of Complex Klein-Gordon Equation in Stochastic Variational
Method    [PDF]

T. Koide, T. Kodama

We discuss the quantization of the complex Klein-Gordon equation in the framework of the stochastic variational method (SVM). In this scheme, the complete dynamics of the quantized field is described by a set of differential equations for the field configuration, which can be interpreted as the Euler (ideal fluid) equation in the functional space. In this formulation, the Fock state vector is given by the stationary solution of these differential equations and various results in the usual canonical quantization can be reproduced, including the effect of anti-particles. We further propose a systematic procedure to determine one parameter included in SVM which is, so far, given in an ad hoc manner so as to reproduce the Schroedinger equation.

View original: http://arxiv.org/abs/1306.6922