On discrete symmetry for spin 1/2 and spin 1 particles in external monopole field and quantum-mechanical property of self-conjugacy

1998/12/23 by В. М. Редьков, V. M. Red'kov, Red'kov, V. M.
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Crystallography and Radiation Phenomena #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9812066

14 pages, latex209

arxiv created 1998/12/23 · openalex publication_date 1998/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Particles of spin 1/2 and 1 in external Abelian monopole field are considered. P-inversion like operators N-s commuting with the respective Hamiltonians are constructed: N(bisp.) is diagonalized onto the relevant wave functions, whereas N(vect.) does not. Such a paradox is rationalized through noting that both these operators are not self-conjugate. It is shown that any N-parity selection rules cannot be produced. Non-Abelian problems for doublets of spin 1/2 and 1 particles are briefly discussed; the statement is given of that corresponding discrete operators are self-conjugate and selection rules are available.

Citations

• Generally relativistical Tetrode-Weyl-Fock-Ivanenko formalism and behaviour of quantum-mechanical particles of spin 1/2 in the Abelian monopole field

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