|
related topics |
{group, space, representation} |
{state, states, coherent} |
{theory, mechanics, state} |
{equation, function, exp} |
{phase, path, phys} |
{state, states, entangled} |
{observables, space, algebra} |
{field, particle, equation} |
{time, decoherence, evolution} |
{energy, gaussian, time} |
{operator, operators, space} |
{error, code, errors} |
|
Coherent States and Duality
J. M. Isidro
abstract: We formulate a relation between quantum-mechanical coherent states and
complex-differentiable structures on the classical phase space ${\cal C}$ of a
finite number of degrees of freedom. Locally-defined coherent states
parametrised by the points of ${\cal C}$ exist when there is an almost complex
structure on ${\cal C}$. When ${\cal C}$ admits a complex structure, such
coherent states are globally defined on ${\cal C}$. The picture of quantum
mechanics that emerges allows to implement duality transformations.
- oai_identifier:
- oai:arXiv.org:quant-ph/0204128
- categories:
- quant-ph
- comments:
- 7 pages, LaTeX
- arxiv_id:
- quant-ph/0204128
- journal_ref:
- Phys.Lett. A301 (2002) 210-214
- created:
- 2002-04-22
Full article ▸
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