A Method for Choosing an Initial Time Eigenstate in Classical and Quantum Systems

Abstract

A subject of interest in classical and quantum mechanics is the development of the appropriate treatment of the time variable. In this paper we introduce a method of choosing the initial time eigensurface and how this method can be used to generate time-energy coordinates and, consequently, time-energy representations for classical and quantum systems.

Keywords

• energy-time coordinates
• energy-time eigenfunctions
• time in classical systems
• time in quantum systems
• commutators in classical systems
• commutators