|
| related topics |
| {equation, function, exp} |
| {energy, state, states} |
| {wave, scattering, interference} |
| {field, particle, equation} |
| {operator, operators, space} |
| {cos, sin, state} |
|
Stationary Flows of the Parabolic Potential Barrier in Two Dimensions
Toshiki Shimbori, Tsunehiro Kobayashi
abstract: In the two-dimensional isotropic parabolic potential barrier $V(x, y)=V_0
-m\gamma^2 (x^2+y^2)/2$, though it is a model of an unstable system in quantum
mechanics, we can obtain the stationary states corresponding to the real energy
eigenvalue $V_0$. Further, they are infinitely degenerate. For the first few
eigenstates, we will find the stationary flows round a right angle that are
expressed by the complex velocity potentials $W=\pm\gamma z^2/2$.
- oai_identifier:
- oai:arXiv.org:quant-ph/0006019
- categories:
- quant-ph
- comments:
- 12 pages, AmS-LaTeX, 4 figures
- doi:
- 10.1088/0305-4470/33/42/311
- arxiv_id:
- quant-ph/0006019
- report_no:
- UTHEP-426
- created:
- 2000-06-05
Full article ▸
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