Two-Time Quantum Mechanics
Natalia Gorobey, Alexander Lukyanenko, and Inna Lukyanenko
TL;DR
This paper develops a two-time quantum framework for a two-particle electromagnetic system using a quantum action principle, deriving an analog of the Schrödinger equation.
Contribution
It introduces a novel two-time quantum formalism for interacting particles based on a quantum action principle, extending traditional single-time approaches.
Findings
Derived an analog of Schrödinger equation for the two-time system
Established a quantum action principle-based formalism for electromagnetic interactions
Proposed a new approach to multi-time quantum mechanics
Abstract
A two-time quantum theory of a system of two particles with the direct electromagnetic interaction based on a quantum version of the action principle is considered. An analog of Schrodinger equation for the system is obtained.
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Taxonomy
TopicsQuantum Mechanics and Applications