Momentum Space Feynman Integral for the Bound State Aharonov-Bohm Effect
Alviu Rey Nasir (1), Jingle Magallanes (1), Herry Pribawanto Suryawan, (2), Jos\'e Lu\'is Da Silva (3) ((1) Department of Physics, College of, Science, Mathematics, and Premier Research Institute of Science and, Mathematics
TL;DR
This paper develops a momentum space Feynman integral for the Schrödinger propagator to analyze the bound state Aharonov-Bohm effect, providing a rigorous mathematical formulation in the context of quantum physics.
Contribution
It introduces a novel construction of the Feynman integral in polar conjugate momentum space as a well-defined white noise functional for the Aharonov-Bohm effect.
Findings
Successfully formulates the Feynman integral in momentum space
Provides a rigorous mathematical framework for the Aharonov-Bohm effect
Enables new analytical approaches to quantum bound states
Abstract
We construct the Feynman integral for the Schr\"odinger propagator in the polar conjugate momentum space, which describes the bound state Aharonov-Bohm effect, as a well-defined white noise functional.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · advanced mathematical theories · Quantum Mechanics and Applications