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A Primer on Path Integrals, Aharonov-Bohm Effect and the Geometric Phase

Deshmukh, P C and Ghosh, S and Kumar, U and Hareesh, C and Aravind, G (2022) A Primer on Path Integrals, Aharonov-Bohm Effect and the Geometric Phase. In: The Physics Educator, 4 (1).

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Official URL: https://doi.org/10.1142/S2661339522500056

Abstract

This work reports an effort to introduce a few advanced concepts in quantum physics to undergraduate students who have only a minimal familiarity with wave mechanics. The geometric phase is not introduced in most introductory courses on quantum mechanics. It is of pivotal significance for the understanding of topological phase transitions which are becoming increasingly important in a large number of physical phenomena, including those that involve platforms for robust quantum computing. This article would provide a gentle introduction to the geometric phase. Toward this goal, Feynman's path integral approach to quantum mechanics and its application in the interpretation of the wondrous Aharonov-Bohm effect is introduced in a gentle manner. A computer simulation of this interesting phenomenology is presented to help gain an early insight into some advanced concepts. © 2022 World Scientific Publishing Company.

Item Type: Journal Article
Publication: The Physics Educator
Publisher: World Scientific
Additional Information: The copyright for this article belongs to World Scientific
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 May 2022 05:54
Last Modified: 23 May 2022 05:54
URI: https://eprints.iisc.ac.in/id/eprint/71804

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