3 papers
quant-ph2009
Generalized Canonical Form of a Multi-Time Dynamical Theory and Quantization
Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko
A generalized canonical form of multi-time dynamical theories is proposed. This form is a starting point for a modified canonical quantization procedure of theories based on a quan…
gr-qc2009
Quantum Geometry of a Configuration Space in a Covariant Dynamical Theory
N. Gorobey, A. Lukyanenko, I. Lukyanenko
A quantum version of the action principle in a simple covariant dynamical theory of two relativistic particles is formulated. The central object of this new formulation of quantum…
gr-qc2006
Path integral representation of the evolution operator for the Dirac equation
Alexander S. Lukyanenko, Inna A. Lukyanenko
A path integral representation of the evolution operator for the four-dimensional Dirac equation is proposed. A quadratic form of the canonical momenta regularizes the original rep…