Nodal structure of chaotic eigenfunctions
| Autor: | Eric J. Heller, W E Bies |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Distribution (number theory)
Mathematical analysis Structure (category theory) Chaotic General Physics and Astronomy Semiclassical physics Statistical and Nonlinear Physics Eigenfunction symbols.namesake Classical mechanics symbols Limit (mathematics) Quantum Mathematical Physics Bessel function Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and General. 35:5673-5685 |
| ISSN: | 0305-4470 |
| DOI: | 10.1088/0305-4470/35/27/309 |
| Popis: | We investigate the distribution of nodes at and beyond the classical turning point of idealized chaotic quantum eigenfunctions. A formula for the density of nodes is derived in the semiclassical limit, and the rate at which this density falls off as one moves into the forbidden region is also studied. The discussion is supported by numerical results. Corrections to the Bessel function correlation in the classically allowed region are necessary for finite and are given here. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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