Semiclassical limit for a truncated Hamiltonian
| Autor: | César Augusto Rodrigues Castilho, A. M. Ozorio de Almeida |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Hamiltonian matrix
Applied Mathematics General Physics and Astronomy Semiclassical physics Statistical and Nonlinear Physics Level-spacing distribution Nonlinear Sciences::Chaotic Dynamics symbols.namesake Fourier transform Quantum mechanics Bound state symbols Covariant Hamiltonian field theory Dynamical billiards Hamiltonian (quantum mechanics) Mathematical Physics Mathematics |
| Zdroj: | Chaos (Woodbury, N.Y.). 6(2) |
| ISSN: | 1089-7682 |
| Popis: | In the numerical calculation of the eigenenergies of a polynomial Hamiltonian, the majority of the levels depend on the cutoff of the basis used. By analyzing the finite Hamiltonian matrix as corresponding to a classical "Action Billiard" we are able to explain several features of the full spectrum using semiclassical periodic orbit theory. There are a large number of low-period orbits which interfere at the higher energies contained in the billiard. In this range the billiard becomes more regular than the untruncated Hamiltonian, as reflected by the Berry-Robnik level spacing distribution. (c) 1996 American Institute of Physics. |
| Databáze: | OpenAIRE |
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