Classical and quantum integrability for a class of potentials in two dimensions
β Scribed by Roshan Hiranwal; S.C Mishra; Veena Mishra
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 372 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0003-4916
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π SIMILAR VOLUMES
Phenomena such as structural phase transitions (see Ref. [l]). polaron formation in solids (see Ref. [2]), the concept of false vacua in field theory (see Ref. [3]), are believed to be the manifestations of anharmonicity.
A completely general two-dimensional 2D methodology for the classical simulation of reactive and nonreactive events on ab initio potential energy surfaces is introduced and tested. The methodology requires the minimum amount of information given a priori-geometries and energies at these geometries.
We study the model of two interacting particles moving in a 1D box, paying main attention to the quantum-classical correspondence for the average shape of quantum eigenstates and for the local density of states (LDOS). We show that if the classical motion is chaotic, in a deep semi-classical region