|
| related topics |
| {phase, path, phys} |
| {classical, space, random} |
| {energy, gaussian, time} |
| {wave, scattering, interference} |
| {temperature, thermal, energy} |
| {particle, mechanics, theory} |
| {level, atom, field} |
| {equation, function, exp} |
| {field, particle, equation} |
| {group, space, representation} |
| {state, algorithm, problem} |
| {time, systems, information} |
|
Resonances and adiabatic invariance in classical and quantum scattering
theory
Sudhir R. Jain
abstract: We discover that the energy-integral of time-delay is an adiabatic invariant
in quantum scattering theory and corresponds classically to the phase space
volume. The integral thus found provides a quantization condition for
resonances, explaining a series of results recently found in non-relativistic
and relativistic regimes. Further, a connection between statistical quantities
like quantal resonance-width and classical friction has been established with a
classically deterministic quantity, the stability exponent of an adiabatically
perturbed periodic orbit. This relation can be employed to estimate the rate of
energy dissipation in finite quantum systems.
- oai_identifier:
- oai:arXiv.org:quant-ph/0408169
- categories:
- quant-ph
- comments:
- 8 pages
- doi:
- 10.1016/j.physleta.2004.12.014
- arxiv_id:
- quant-ph/0408169
- created:
- 2004-08-27
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