Calculation of the Aharonov-Bohm wave function
M. Alvarez (Center for Theoretical Physics, MIT)
TL;DR
This paper presents a calculation of the Aharonov-Bohm wave function resulting in a series of confluent hypergeometric functions that remain finite in the forward direction.
Contribution
It introduces a new analytical form of the Aharonov-Bohm wave function using confluent hypergeometric functions, improving understanding of its behavior.
Findings
Wave function expressed as confluent hypergeometric series
Wave function is finite at the forward direction
Provides analytical insight into Aharonov-Bohm effect
Abstract
A calculation of the Aharonov-Bohm wave function is presented. The result is a series of confluent hypergeometric functions which is finite at the forward direction.
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