|
related topics |
{time, wave, function} |
{equation, function, exp} |
{force, casimir, field} |
{wave, scattering, interference} |
{particle, mechanics, theory} |
{error, code, errors} |
{let, theorem, proof} |
{energy, gaussian, time} |
|
Total Absorption in Finite Time in an $i\delta$ Potential
A. Marchewka, Zeev Schuss
abstract: We consider the evolution of Green's function of the one-dimensional
Schr\"odinger equation in the presence of the complex potential $-ik\delta(x)$.
Our result is the construction of an explicit time-dependent solution which we
use to calculate the time-dependent survival probability of a quantum particle.
The survival probability decays to zero in finite time, which means that the
complex delta potential well is a total absorber for quantum particles. This
potential can be interpreted as a killing measure with infinite killing rate
concentrated at the origin.
- oai_identifier:
- oai:arXiv.org:quant-ph/0107152
- categories:
- quant-ph
- comments:
- 8 pages, no figures, we would welcome comments
- arxiv_id:
- quant-ph/0107152
- created:
- 2001-07-30
Full article ▸
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