|
| related topics |
| {states, state, optimal} |
| {group, space, representation} |
| {operator, operators, space} |
| {state, states, coherent} |
| {let, theorem, proof} |
| {spin, pulse, spins} |
| {measurement, state, measurements} |
| {cos, sin, state} |
| {energy, state, states} |
| {classical, space, random} |
|
Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin
States
Stefan Weigert
abstract: The expectation values of a hermitean operator A in (2s+1)(2s+1) specific
coherent states of a spin are known to determine the operator unambiguously. As
shown here, (almost) any other (2s+1)(2s+1) coherent states also provide a
basis for self-adjoint operators. This is proven by considering the determinant
of the Gram matrix associated with the coherent state projectors as a
Hamiltonian of a fictitious classical spin system.
- oai_identifier:
- oai:arXiv.org:quant-ph/9907101
- categories:
- quant-ph
- comments:
- Latex2e, 4 pages
- arxiv_id:
- quant-ph/9907101
- journal_ref:
- J. Opt. B 56 (2004) 489
- created:
- 1999-07-30
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