Analogs of the Hamilton-Jacobi and Schrodinger Equations for Multidimensional Variational Problems of Field Theory

Abstract

Generalizations of the Hamilton-Jacobi and Schrodinger equations for multidimensional variational problems of field theory are deduced. These generalizations are so-called variational differential equations.

arXiv commentLaTeX, 4 pages; minor changes

References in corpus (2)

• Excitations Propagating Along Surfaces
• Generalized Schrodinger Equation and Constructions of Quantum Field Theory

Cited by in corpus (4)

• Precanonical quantization and the Schrödinger wave functional revisited
• A new mathematical problem related to quantization of fields
• Generalizations of wave equations to multidimensional variational problems
• A mathematical approach to quantum field theory