|
| related topics |
| {equation, function, exp} |
| {phase, path, phys} |
| {field, particle, equation} |
| {classical, space, random} |
| {cos, sin, state} |
| {temperature, thermal, energy} |
| {time, decoherence, evolution} |
|
On the exactness of the Semi-Classical Approximation for
Non-Relativistic One Dimensional Propagators
Ibrahim Semiz, Koray Duztas
abstract: For one dimensional non-relativistic quantum mechanical problems, we
investigate the conditions for all the position dependence of the propagator to
be in its phase, that is, the semi-classical approximation to be exact. For
velocity independent potentials we find that:
(i) the potential must be quadratic in space, but can have arbitrary time
dependence.
(ii) the phase may be made proportional to the classical action, and the
magnitude (``fluctuation factor'') can also be found from the classical
solution.
(iii) for the driven harmonic oscillator the fluctuation factor is
independent of the driving term.
- oai_identifier:
- oai:arXiv.org:quant-ph/0608211
- categories:
- quant-ph
- comments:
- 7 pages, latex, no figures, published in journal of physics A
- doi:
- 10.1088/0305-4470/39/47/011
- arxiv_id:
- quant-ph/0608211
- journal_ref:
- journal of physics A: Math. Gen. Vol:39 p.14681, 2006
- created:
- 2006-08-28
- updated:
- 2006-11-16
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