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| related topics |
| {classical, space, random} |
| {equation, function, exp} |
| {let, theorem, proof} |
| {wave, scattering, interference} |
| {error, code, errors} |
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| {information, entropy, channel} |
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Exact, convergent periodic-orbit expansions of individual energy
eigenvalues of regular quantum graphs
R. Blümel, Y. Dabaghian, R. V. Jensen
abstract: We present exact, explicit, convergent periodic-orbit expansions for
individual energy levels of regular quantum graphs. One simple application is
the energy levels of a particle in a piecewise constant potential. Since the
classical ray trajectories (including ray splitting) in such systems are
strongly chaotic, this result provides the first explicit quantization of a
classically chaotic system.
- oai_identifier:
- oai:arXiv.org:quant-ph/0110109
- categories:
- quant-ph
- comments:
- 25 pages, 5 figures
- doi:
- 10.1103/PhysRevE.65.046222
- arxiv_id:
- quant-ph/0110109
- created:
- 2001-10-17
Full article ▸
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