A New Method for Calculating Non Relativistic Feynman Propagators in Momentum Space
Oem Trivedi
TL;DR
This paper introduces a novel variation of Schwinger's Method for calculating non-relativistic Feynman propagators directly in momentum space, demonstrating its effectiveness with the harmonic oscillator case.
Contribution
It presents a new momentum space formulation of Schwinger's Method for non-relativistic propagators, expanding the computational tools available for quantum mechanics.
Findings
The momentum space variation of Schwinger's Method is effective.
The method successfully derives the harmonic oscillator propagator.
The approach offers an alternative to position space calculations.
Abstract
In this paper, we present a formulation of Schwinger's Method for non relativistic propogators in momentum space. While the aforementioned method has been used heavily in some papers to deduce various non relativistic propogators in position space, we show that a variation of method in momentum space works well. We also show how to extract the Propogator for the concerned case for the harmonic oscillator.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Mechanics and Applications · Quantum Electrodynamics and Casimir Effect