Classical and quantum complex dynamics

TL;DR

This paper introduces a complex phase space formalism that generalizes classical mechanics and supports complex Hamiltonians, enabling a quantization scheme for non-conservative and non-stationary systems.

Contribution

It develops a novel complex parametrization of phase space and a broad quantization scheme accommodating non-conservative and dynamic processes.

Findings

Supports complex Hamiltonian functions for non-conservative systems

Provides a quantization scheme for non-stationary processes

Generalizes classical mechanics through complex phase space

Abstract

A generalization of classical mechanics is obtained from a complex parametrization of the phase space. The formalism supports complex Hamiltonian functions describing non-conservative classical mechanical systems. A quantization scheme that is general enough to incorporate non-stationary physical processes is also achieved.