dorsal/arxiv
View Schema"Paradoxical" coexistence of continuum of 'bound' waves and discrete set of unlimited motion states
| Authors | V. M. Chabanov, B. N. Zakhariev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409004 |
| URL | https://arxiv.org/abs/quant-ph/0409004 |
Abstract
We have combined two remarkable phenomena: resonance tunneling and Anderson localization. It results in unexpected spectrum reverse to usual notions. It is demonstrated by the quantum system with chaotic distribution of potential resonance tunneling traps over the whole coordinate axis. The corresponding spectrum contains continuum of 'bound' states (Anderson's localization) and discrete tunneling resonances of unlimited wave propagation. It is in contrast to the usual situation with discrete bound and continuum of scattering states.
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"date_created": "2026-03-02T18:02:10.047000Z",
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"abstract": "We have combined two remarkable phenomena: resonance tunneling and Anderson\nlocalization. It results in unexpected spectrum reverse to usual notions. It is\ndemonstrated by the quantum system with chaotic distribution of potential\nresonance tunneling traps over the whole coordinate axis. The corresponding\nspectrum contains continuum of \u0027bound\u0027 states (Anderson\u0027s localization) and\ndiscrete tunneling resonances of unlimited wave propagation. It is in contrast\nto the usual situation with discrete bound and continuum of scattering states.",
"arxiv_id": "quant-ph/0409004",
"authors": [
"V. M. Chabanov",
"B. N. Zakhariev"
],
"categories": [
"quant-ph"
],
"title": "\"Paradoxical\" coexistence of continuum of \u0027bound\u0027 waves and discrete set of unlimited motion states",
"url": "https://arxiv.org/abs/quant-ph/0409004"
},
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