Infinite-dimensional representations of the rotation group and Dirac monopole problem

Within the context of infinite-dimensional representations of the rotation group, the Dirac monopole problem is studied in detail. Irreducible infinite-dimensional representations, which have been realized in the indefinite metric Hilbert space, are given by linear unbounded operators in infinite-di...

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Veröffentlicht in:	Journal of mathematical physics 2008-01, Vol.49 (1), p.013505-013505-26
Hauptverfasser:	Nesterov, Alexander I., Aceves de la Cruz, Fermín
Format:	Artikel
Sprache:	eng
Schlagworte:	CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CONVERGENCE EIGENFUNCTIONS EIGENVALUES Euclidean space Exact sciences and technology GROUP THEORY HILBERT SPACE MAGNETIC MONOPOLES Mathematical methods in physics Mathematical problems Mathematics Physics QUANTIZATION Quantum theory ROTATION SCHROEDINGER EQUATION Sciences and techniques of general use SPIN TOPOLOGY
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