Semiclassical initial value approximation for Green's function

Journal of Chemical Physics

Volumn 132, Issue 24, 2010, Pages

  Kay, Kenneth G ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL TRAJECTORIES; DEGREES OF FREEDOM; ENERGY DEPENDENT; ENERGY EIGENFUNCTIONS; ENERGY SURFACE; INITIAL VALUES; NUMERICAL TESTS; STATIONARY PHASE METHODS; TIME-DEPENDENT; TWO-DIMENSIONAL SYSTEMS;

EIGENVALUES AND EIGENFUNCTIONS; TWO DIMENSIONAL;

GREEN'S FUNCTION;

EID: 77954188097     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3451076     Document Type: Article

References (43)

1. A. Messiah, Quantum Mechanics (Wiley, New York, 1966).
2. J. R. Taylor, Scattering Theory (Wiley, New York, 1972).
3. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
4. C. Kittel, Quantum Theory of Solids (Wiley, New York, 1963).
5. J. Z. H. Zhang, Theory and Application of Quantum Molecular Dynamics (World Scientific, Singapore, 1999).
6. A. Nitzan, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 52, 681 (2001). 10.1146/annurev.physchem.52.1.681 (Pubitemid 33655136)
7. J. Linderberg and Y. Öhrn, Propagators in Quantum Chemistry (Academic, London, 1973).
8. M. C. Gutzwiller, J. Math. Phys. JMAPAQ 0022-2488 8, 1979 (1967). 10.1063/1.1705112
9. J. H. V. Vleck, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 14, 178 (1928). 10.1073/pnas.14.2.178
10. M. C. Gutzwiller, J. Math. Phys. JMAPAQ 0022-2488 12, 343 (1971). 10.1063/1.1665596
11. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
12. G. Yang, Phys. Rev. A PLRAAN 1050-2947 58, 2600 (1998). 10.1103/PhysRevA.58.2600
13. V. P. Maslov and M. V. Fedoriuk, Semi-Classical Approximation in Quantum Mechanics (Reidel, Boston, 1981).
14. J. B. Delos, Adv. Chem. Phys. ADCPAA 0065-2385 65, 161 (1986). 10.1002/9780470142899.ch4
15. M. Thoss and H. Wang, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 55, 299 (2004). 10.1146/annurev.physchem.55.091602.094429
16. K. G. Kay, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 56, 255 (2005). 10.1146/annurev.physchem.56.092503.141257 (Pubitemid 41156879)
17. W. H. Miller, J. Chem. Phys. JCPSA6 0021-9606 53, 3578 (1970). 10.1063/1.1674535
18. W. H. Miller, J. Phys. Chem. A JPCAFH 1089-5639 105, 2942 (2001). 10.1021/jp003712k (Pubitemid 35373060)
19. M. F. Herman and E. Kluk, Chem. Phys. CMPHC2 0301-0104 91, 27 (1984). 10.1016/0301-0104(84)80039-7
20. K. G. Kay, Chem. Phys. CMPHC2 0301-0104 370, 51 (2010). 10.1016/j.chemphys.2009.12.015
21. D. Zor and K. G. Kay, Phys. Rev. Lett. PRLTAO 0031-9007 76, 1990 (1996). 10.1103/PhysRevLett.76.1990
22. M. Madhusoodanan and K. G. Kay, J. Chem. Phys. JCPSA6 0021-9606 109, 2644 (1998). 10.1063/1.476875 (Pubitemid 128678156)
23. M. C. Gutzwiller, J. Math. Phys. JMAPAQ 0022-2488 11, 1791 (1970). 10.1063/1.1665328
24. M. Berry and M. Tabor, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 349, 101 (1976). 10.1098/rspa.1976.0062
25. D. Ullmo, M. Grinberg, and S. Tomsovic, Phys. Rev. E PLEEE8 1063-651X 54, 136 (1996). 10.1103/PhysRevE.54.136
26. B. Eckhardt and D. Wintgen, J. Phys. A JPHAC5 0305-4470 24, 4335 (1991). 10.1088/0305-4470/24/18/020
27. R. G. Littlejohn, J. Math. Phys. JMAPAQ 0022-2488 31, 2952 (1990). 10.1063/1.528949
28. K. G. Kay, J. Chem. Phys. JCPSA6 0021-9606 100, 4377 (1994). 10.1063/1.466320
29. K. G. Kay, Chem. Phys. CMPHC2 0301-0104 322, 3 (2006). 10.1016/j.chemphys.2005.06.019
30. Y. Elran and K. G. Kay, J. Chem. Phys. JCPSA6 0021-9606 110, 8192 (1999).
31. H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, 1980).
32. T. Sklarz and K. G. Kay, J. Chem. Phys. JCPSA6 0021-9606 120, 2606 (2004). 10.1063/1.1637342
33. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 2001).
34. A. Carnegie and I. C. Percival, J. Phys. A JPHAC5 0305-4470 17, 801 (1984). 10.1088/0305-4470/17/4/020
35. B. Eckhardt, G. Hose, and E. Pollak, Phys. Rev. A PLRAAN 1050-2947 39, 3776 (1989). 10.1103/PhysRevA.39.3776
36. K. G. Kay, J. Chem. Phys. JCPSA6 0021-9606 101, 2250 (1994). 10.1063/1.467665
37. E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. JCPSA6 0021-9606 84, 326 (1986). 10.1063/1.450142
38. M. Spanner, V. S. Batista, and P. Brumer, J. Chem. Phys. JCPSA6 0021-9606 122, 084111 (2005). 10.1063/1.1854634 (Pubitemid 41047453)
39. M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys. JCTPAH 0021-9991 47, 412 (1982). 10.1016/0021-9991(82)90091-2
40. K. G. Kay, J. Chem. Phys. JCPSA6 0021-9606 100, 4432 (1994). 10.1063/1.466273
41. R. T. Skodje, F. Borondo, and W. P. Reinhardt, J. Chem. Phys. JCPSA6 0021-9606 82, 4611 (1985). 10.1063/1.448719
42. D. W. Noid, M. L. Koszykowski, and R. A. Marcus, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 32, 267 (1981). 10.1146/annurev.pc.32.100181.001411
43. R. G. Littlejohn and J. M. Robbins, Phys. Rev. A PLRAAN 1050-2947 36, 2953 (1987). 10.1103/PhysRevA.36.2953