On infinite-dimensional representations of the rotation group and Dirac monopole
Alexander I. Nesterov, F. Aceves de la Cruz
TL;DR
This paper explores infinite-dimensional representations of the rotation group to develop a consistent theory of pointlike Dirac monopoles with arbitrary magnetic charge.
Contribution
It introduces a novel approach using infinite-dimensional rotation group representations to formulate monopole theory with arbitrary magnetic charge.
Findings
Established a consistent monopole theory within this framework
Extended the range of magnetic charges beyond traditional quantization
Provided mathematical foundations for monopoles in infinite-dimensional spaces
Abstract
The Dirac monopole problem is studied in details within the framework of infinite-dimensional representations of the rotation group, and a consistent pointlike monopole theory with an arbitrary magnetic charge is deduced.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Algebraic and Geometric Analysis · Quantum and Classical Electrodynamics