Covariant Quantum Green's Function for an Accelerated Particle
T. Garavaglia
TL;DR
This paper develops a covariant Green's function framework for analyzing the quantum behavior of an accelerated relativistic particle, enabling proper time evolution of wave functions in a covariant manner.
Contribution
It introduces a covariant Green's function approach for accelerated particles, extending relativistic quantum theory to include acceleration effects.
Findings
Derived a covariant Green's function for accelerated particles
Enabled proper time evolution of wave functions in a covariant setting
Provided a new tool for studying relativistic quantum systems with acceleration
Abstract
Covariant relativistic quantum theory is used to study the covariant Green's function, which can be used to determine the proper time evolved wave functions that are solutions to the covariant Schr\"odinger type equation for a massive spin zero particle. The concept of covariant action is used to obtain the Green's function for an accelerated relativistic particle.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Mechanics and Applications · Algebraic and Geometric Analysis