Resonance-assisted tunneling in three degrees of freedom without discrete symmetry

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 4, 2005, Pages

  Keshavamurthy, Srihari ^a,b  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ELECTRON ENERGY LEVELS; HAMILTONIANS; QUANTUM THEORY; RESONANCE;

DISCRETE SYMMETRY; DYNAMICAL TUNNELING; NONLINEAR RESONANCES; QUANTUM STATES;

RESONANT TUNNELING;

EID: 33244482869     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.045203     Document Type: Article

References (35)

1. M. J. Davis and E. J. Heller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.441832 75, 246 (1981);
2. R. T. Lawton and M. S. Child, Mol. Phys. MOPHAM 0026-8976 37, 1799 (1979).
3. O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(93)90109-Q 223, 43 (1993);
4. S. Tomsovic and D. Ullmo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.145 50, 145 (1994).
5. W. A. Lin, and L. E. Ballentine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.2927 65, 2927 (1990);
6. E. Doron and S. D. Frischat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3661 75, 3661 (1995);
7. A. Shudo and K. S. Ikeda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.682 74, 682 (1995);
8. S. C. Creagh and N. D. Whelan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4975 77, 4975 (1996);
9. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.1458 57, 1458 (1998);
10. V. A. Podolskiy and E. E. Narimanov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.263601 91, 263601 (2003).
11. A. M. Ozorio de Almeida, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j150669a017 88, 6139 (1984);
12. D. Farrelly and T. Uzer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.451657 85, 308 (1986);
13. L. Bonci, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5689 58, 5689 (1998).
14. O. Brodier, P. Schlagheck, and D. Ullmo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.064101 87, 064101 (2001);
15. O. Brodier, P. Schlagheck, and D. Ullmo, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1006/aphy.2002.6281 300, 88 (2002).
16. E. J. Heller and M. J. Davis, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j150604a001 85, 307 (1981);
17. E. J. Heller, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100009a021 99, 2625 (1995).
18. C. Eltschka and P. Schlagheck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.014101 94, 014101 (2005).
19. S. Keshavamurthy, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1577313 119, 161 (2003);
20. S. Keshavamurthy, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1881152 122, 114109 (2005), and references therein on the work to dynamical tunneling and energy flow in molecules.
21. J. U. Nöckel, and A. D. Stone, Nature (London) NATUAS 0028-0836 10.1038/385045a0 385, 45 (1997);
22. W. K. Hensinger, Nature (London) NATUAS 0028-0836 10.1038/35083510 412, 52 (2001);
23. D. A. Steck, W. H. Oskay, and M. G. Raizen, Science SCIEAS 0036-8075 10.1126/science.1061569 293, 274 (2001);
24. A. P. S. de Moura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 88.236804 88, 236804 (2002).
25. S. Tomsovic, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/47/008 31, 9469 (1998).
26. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
27. H0 pertains to the molecule CDBrClF and the parameters are determined (Table VIII, column 4) in A. Beil, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1302083 113, 2701 (2000).
28. One can think of Eq. 1 as being in the intrinsic resonance representation. See, M. Carioli, E. J. Heller, and K. B. Moller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473911 106, 8564 (1997);
29. D. M. Leitner and P. G. Wolynes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.216 76, 216 (1996).
30. A. A. Stuchebrukhov and R. A. Marcus, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.464502 98, 8443 (1993);
31. A. A. Stuchebrukhov and R. A. Marcus, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.464843 98, 6044 (1993).
32. L. V. Vela-Arevalo and S. Wiggins, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127401002766 11, 1359 (2001).
33. C. Chandre, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 074101 94, 074101 (2005).
34. D. Farrelly and J. A. Milligan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.R2225 47, R2225 (1993);
35. M. Latka, P. Grigolini, and B. J. West, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.R3299 50, R3299 (1994).