Abstract
Time-dependent self-consistent equations for semiclassical dynamics in phase space are developed. The method is based on constructing a Gaussian density matrix, whose equations of motion are obtained by requiring that the first two moments of the coordinates and momenta have the correct time evolution. The method can yield, in principle, the exact values of these moments for all time. The present method can be applied for the time evolution of mixed states in phase space and may, therefore, be particularly useful for molecular dynamics in condensed phases. Raman excitation profiles in anharmonic molecules are calculated and show excellent agreement with exact calculations.
References
51
Referenced
38
10.1063/1.430620
/ J. Chem. Phys. (1975)10.1021/ar00072a002
/ Acc. Chem. Res. (1981)10.1016/0009-2614(82)83244-2
/ Chem. Phys. Lett. (1982)10.1063/1.445797
/ J. Chem. Phys. (1983)10.1016/0039-6028(83)90293-5
/ Surf. Sci. (1983)10.1063/1.447464
/ J. Chem. Phys. (1984)10.1063/1.447127
/ J. Chem. Phys. (1984)10.1063/1.445597
/ J. Chem. Phys. (1983)10.1063/1.445601
/ J. Chem. Phys. (1983)10.1063/1.449204
/ J. Chem. Phys. (1985)10.1080/00268978600100551
/ Mol. Phys. (1986)10.1063/1.442012
/ J. Chem. Phys. (1981)10.1063/1.444931
/ J. Chem. Phys. (1983){'key': '2024021004311330200_r9'}
10.1016/0021-9991(83)90015-3
/ J. Comp. Phys. (1983)10.1063/1.445959
/ J. Chem. Phys. (1983)10.1063/1.448123
/ J. Chem. Phys. (1984){'key': '2024021004311330200_r11'}
{'key': '2024021004311330200_r11a'}
10.1063/1.441588
/ J. Chem. Phys. (1981)10.1063/1.447820
/ J. Chem. Phys. (1984)10.1063/1.447501
/ J. Chem. Phys. (1984)10.1016/0009-2614(86)80014-8
/ Chem. Phys. Lett. (1986)10.1063/1.448081
/ J. Chem. Phys. (1984)10.1103/PhysRevLett.55.1
/ Phys. Rev. Lett. (1985)10.1021/j150659a010
/ J. Phys. Chem. (1984)10.1103/PhysRev.91.1505
/ Phys. Rev. (1953)10.1143/PTPS.64.74
/ Supp. Prog. Theor. Phys. (1978)10.1103/PhysRev.106.620
/ Phys. Rev. (1957)10.1103/PhysRev.108.171
/ Phys. Rev. (1957)10.1103/PhysRev.144.151
/ Phys. Rev. (1966)10.1103/PhysRev.160.175
/ Phys. Rev. (1967){'key': '2024021004311330200_r20'}
10.1063/1.444225
/ J. Chem. Phys. (1982)10.1016/0009-2614(83)80302-9
/ Chem. Phys. Lett. (1983)10.1063/1.446026
/ J. Chem. Phys. (1983)10.1016/0370-1573(82)90064-3
/ Phys. Rep. (1982)10.1063/1.445664
/ J. Chem. Phys. (1983){'key': '2024021004311330200_r24'}
{'key': '2024021004311330200_r25'}
10.1103/PhysRevA.26.617
/ Phys. Rev. A (1982)10.1016/0370-1573(84)90160-1
/ Phys. Rep. (1984){'key': '2024021004311330200_r28'}
10.1063/1.1669577
/ J. Chem. Phys. (1968){'key': '2024021004311330200_r29'}
10.1063/1.1705306
/ J. Math. Phys. (1967)10.1017/S0013091500013870
/ Proc. Edinburgh Math. Soc. (1932)10.1103/PhysRevD.29.1107
/ Phys. Rev. D (1984)10.1063/1.431234
/ J. Chem. Phys. (1975)10.1016/S0301-0104(78)85253-7
/ Chem. Phys. (1978)10.1063/1.451502
/ J. Chem. Phys. (1986)
Dates
Type | When |
---|---|
Created | 23 years, 1 month ago (July 26, 2002, 9:10 a.m.) |
Deposited | 1 year, 6 months ago (Feb. 10, 2024, 12:53 a.m.) |
Indexed | 1 year, 6 months ago (Feb. 11, 2024, 8:59 a.m.) |
Issued | 38 years, 5 months ago (March 15, 1987) |
Published | 38 years, 5 months ago (March 15, 1987) |
Published Print | 38 years, 5 months ago (March 15, 1987) |
@article{Grad_1987, title={Reduced equations of motion for semiclassical dynamics in phase space}, volume={86}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.452000}, DOI={10.1063/1.452000}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Grad, Jonathan and Yan, Yi Jing and Haque, Azizul and Mukamel, Shaul}, year={1987}, month=mar, pages={3441–3454} }