0204128v1

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 ▸

related documents
0108028v1
0609072v1
0501048v1
9708037v1
0406010v1
0110062v1
0701054v1
9809064v2
0402060v2
0507151v1
0305141v1
0208055v3
0302011v2
0312220v1
0403160v1
0312096v2
0209059v1
0310121v1
0507218v1
0210014v1
0206078v1
0507194v1
0406146v1
0612033v1
0606242v3