dorsal/arxiv
View SchemaOn discrete symmetry for spin 1/2 and spin 1 particles in external monopole field and quantum-mechanical property of self-conjugacy
| Authors | V. M. Red'kov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812066 |
| URL | https://arxiv.org/abs/quant-ph/9812066 |
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.
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"abstract": "Particles of spin 1/2 and 1 in external Abelian monopole field are\nconsidered. P-inversion like operators N-s commuting with the respective\nHamiltonians are constructed: N(bisp.) is diagonalized onto the relevant wave\nfunctions, whereas N(vect.) does not. Such a paradox is rationalized through\nnoting that both these operators are not self-conjugate. It is shown that any\nN-parity selection rules cannot be produced. Non-Abelian problems for doublets\nof spin 1/2 and 1 particles are briefly discussed; the statement is given of\nthat corresponding discrete operators are self-conjugate and selection rules\nare available.",
"arxiv_id": "quant-ph/9812066",
"authors": [
"V. M. Red\u0027kov"
],
"categories": [
"quant-ph"
],
"title": "On discrete symmetry for spin 1/2 and spin 1 particles in external monopole field and quantum-mechanical property of self-conjugacy",
"url": "https://arxiv.org/abs/quant-ph/9812066"
},
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