Geometric phases for finite-dimensional systems-The roles of Bargmann invariants, null phase curves, and the Schwinger-Majorana SU(2) framework

Akhilesh, K. S. and Arvind, . and Chaturvedi, S. and Mallesh, K. S. and Mukunda, N. (2020) Geometric phases for finite-dimensional systems-The roles of Bargmann invariants, null phase curves, and the Schwinger-Majorana SU(2) framework. Journal of Mathematical Physics, 61 (7). ISSN 1089-7658

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Abstract

We present a study of the properties of Bargmann Invariants (BIs) and Null Phase Curves (NPCs) in the theory of the geometric phase for finite dimensional systems. A recent suggestion to exploit the Majorana theorem on symmetric SU(2) multispinors is combined with the Schwinger oscillator operator construction to develop efficient operator-based methods to handle these problems. The BI is described using intrinsic unitary invariant angle parameters whose algebraic properties as functions of Hilbert space dimension are analyzed using elegant group theoretic methods. The BI-geometric phase connection, extended by the use of NPCs, is explored in detail, and interesting new experiments in this subject are pointed out.

Item Type:	Article
Subjects:	D Physical Science > Physics
Divisions:	Department of > Physics
Depositing User:	Mr Umendra uom
Date Deposited:	24 Feb 2021 05:59
Last Modified:	25 Jul 2022 06:29
URI:	http://eprints.uni-mysore.ac.in/id/eprint/15556

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