1995 |
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| 2. | Kumar, Sanjay; Sathyamurthy, N; Ramaswamy, Ramakrishna Overcoming the zero-point dilemma in quasiclassical trajectories: (He,H2+) as a test case Journal Article The Journal of Chemical Physics, 103 (14), pp. 6021–6028, 1995, ISSN: 00219606. Abstract | Links | BibTeX | Tags: Action-Billiard @article{Kumar1995, title = {Overcoming the zero-point dilemma in quasiclassical trajectories: (He,H2+) as a test case}, author = {Sanjay Kumar and N Sathyamurthy and Ramakrishna Ramaswamy}, url = {https://ramramaswamy.org/papers/054.pdf}, doi = {10.1063/1.470430}, issn = {00219606}, year = {1995}, date = {1995-01-01}, journal = {The Journal of Chemical Physics}, volume = {103}, number = {14}, pages = {6021–6028}, abstract = {We present a new technique for circumventing the problem of the zero-point leak in classical trajectories by extending the action-billiard approach of de Aguiar and Ozorio de Almeida [Nonlinearity 5, 523 (1992)]. In addition to demonstrating its utility in a model problem, we examine the application of various methods of overcoming the zero-point leak in the case of collinear He+H2 + collisions. We also show that not neglecting leaky trajectories gives, on an average, good agreement with quantal results for collinear as well as 3-dimensional collisions. textcopyright 1995 American Institute of Physics.}, keywords = {Action-Billiard}, pubstate = {published}, tppubtype = {article} } We present a new technique for circumventing the problem of the zero-point leak in classical trajectories by extending the action-billiard approach of de Aguiar and Ozorio de Almeida [Nonlinearity 5, 523 (1992)]. In addition to demonstrating its utility in a model problem, we examine the application of various methods of overcoming the zero-point leak in the case of collinear He+H2 + collisions. We also show that not neglecting leaky trajectories gives, on an average, good agreement with quantal results for collinear as well as 3-dimensional collisions. textcopyright 1995 American Institute of Physics. |
1994 |
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| 1. | A Kudrolli S Sridhar, Pandey A; Ramaswamy, R Signatures of chaos in quantum billiards: Microwave experiments Journal Article Physical Review E, 49 (1), pp. R11–R14, 1994. Abstract | Links | BibTeX | Tags: Action-Billiard, Chaos, Quantum chaos @article{Kudrolli1994, title = {Signatures of chaos in quantum billiards: Microwave experiments}, author = {A Kudrolli, S Sridhar, A Pandey and R Ramaswamy}, url = {https://link.aps.org/doi/10.1103/PhysRevE.49.R11}, doi = {10.1103/PhysRevE.49.R11}, year = {1994}, date = {1994-01-01}, journal = {Physical Review E}, volume = {49}, number = {1}, pages = {R11–R14}, abstract = {The signatures of classical chaos and the role of periodic orbits in the wave-mechanical eigenvalue spectra of two-dimensional billiards are studied experimentally in microwave cavities. The survival probability for all the chaotic cavity data shows a ‘‘correlation hole,’’ in agreement with theory, that is absent for the integrable cavity. The spectral rigidity Δ 3 (L), which is a measure of long-range correlation, is shown to be particularly sensitive to the presence of marginally stable periodic orbits. Agreement with random-matrix theory is achieved only after excluding such orbits, which we do by constructing a special geometry, the Sinai stadium. Pseudointegrable geometries are also studied, and are found to display intermediate behavior.}, keywords = {Action-Billiard, Chaos, Quantum chaos}, pubstate = {published}, tppubtype = {article} } The signatures of classical chaos and the role of periodic orbits in the wave-mechanical eigenvalue spectra of two-dimensional billiards are studied experimentally in microwave cavities. The survival probability for all the chaotic cavity data shows a ‘‘correlation hole,’’ in agreement with theory, that is absent for the integrable cavity. The spectral rigidity Δ 3 (L), which is a measure of long-range correlation, is shown to be particularly sensitive to the presence of marginally stable periodic orbits. Agreement with random-matrix theory is achieved only after excluding such orbits, which we do by constructing a special geometry, the Sinai stadium. Pseudointegrable geometries are also studied, and are found to display intermediate behavior. |