Generalized Schrodinger equation for free field

Abstract

We give a logically and mathematically self-consistent procedure of quantization of free scalar field, including quantization on space-like surfaces. A short discussion of possible generalization to interacting fields is added.

18 pages

References in corpus (4)

• Functional Evolution of Free Quantum Fields
• Excitations Propagating Along Surfaces
• Generalized Schrodinger Equation and Constructions of Quantum Field Theory
• Gaussian transform of the Weil representation

Cited by in corpus (10)

• The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization
• Gaussian transform of the Weil representation
• Quantization on space-like surfaces
• A new mathematical problem related to quantization of fields
• Mathematical definition of quantum field theory on a manifold
• No-Counterterm approach to quantum field theory
• Is quantum field theory a generalization of quantum mechanics?
• Generalizations of wave equations to multidimensional variational problems
• An attempt to construct dynamical evolution in quantum field theory
• A mathematical approach to quantum field theory