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related topics |
{field, particle, equation} |
{equation, function, exp} |
{operator, operators, space} |
{group, space, representation} |
{theory, mechanics, state} |
{particle, mechanics, theory} |
{cos, sin, state} |
{bell, inequality, local} |
|
On discrete symmetry for spin 1/2 and spin 1 particles in external
monopole field and quantum-mechanical property of self-conjugacy
V. M. Red'kov
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9812066
- categories:
- quant-ph
- comments:
- 14 pages, latex209
- arxiv_id:
- quant-ph/9812066
- created:
- 1998-12-23
Full article ▸
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