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| related topics |
| {energy, gaussian, time} |
| {operator, operators, space} |
| {equation, function, exp} |
| {vol, operators, histories} |
| {group, space, representation} |
| {state, states, coherent} |
| {field, particle, equation} |
| {photon, photons, single} |
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Generalized Heisenberg relation and Quantum Harmonic Oscillators
P. Narayana Swamy
abstract: We study the consequences of the generalized Heisenberg uncertainty relation
which admits a minimal uncertainty in length such as the case in a theory of
quantum gravity. In particular, the theory of quantum harmonic oscillators
arising from such a generalized uncertainty relation is examined. We
demonstrate that all the standard properties of the quantum harmonic
oscillators prevail when we employ a generalized momentum. We also show that
quantum electrodynamics and coherent photon states can be described in the
familiar standard manner despite the generalized uncertainty principle.
- oai_identifier:
- oai:arXiv.org:quant-ph/0610079
- categories:
- quant-ph
- comments:
- 10 pages, LaTeX
- arxiv_id:
- quant-ph/0610079
- created:
- 2006-10-10
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