COMPARATIVE STUDY OF SEMICLASSICAL APPROACHES TO QUANTUM DYNAMICS
2009 ◽
Vol 20
(08)
◽
pp. 1155-1186
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Keyword(s):
Quantum states can be described equivalently by density matrices, Wigner functions, or quantum tomograms. We analyze the accuracy and performance of three related semiclassical approaches to quantum dynamics, in particular with respect to their numerical implementation. As test cases, we consider the time evolution of Gaussian wave packets in different one-dimensional geometries, whereby tunneling, resonance, and anharmonicity effects are taken into account. The results and methods are benchmarked against an exact quantum mechanical treatment of the system, which is based on a highly efficient Chebyshev expansion technique of the time evolution operator.
Keyword(s):
2015 ◽
Vol 18
(1)
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pp. 91-103
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Keyword(s):
2017 ◽
Vol 839
◽
pp. 012015
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Keyword(s):
1993 ◽
Vol 40
(7)
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pp. 1369-1385
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Keyword(s):
Keyword(s):
Numerical integration of the time evolution operator: Excited-state dynamics in conjugated molecules
1984 ◽
Vol 26
(S18)
◽
pp. 347-358
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