On the computation of two surface properties by coordinate-space propagator techniques
- 15 July 1985
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 83 (2) , 688-697
- https://doi.org/10.1063/1.449482
Abstract
The time‐dependent two‐surface formalism (used to calculate electronic absorption spectra, Raman excitation profiles, etc.) is recast so as to enable the employment of recently developed coordinate space propagator techniques in the computation of the relevant time kernels. Two classes of propagator methods are discussed in connection with the two‐surface problem: matrix multiplication of discretized short‐time propagators and Monte Carlo path integration. As a nontrivial test case, the matrix multiplication procedure is successfully utilized to extract a high resolution finite temperature electronic absorption spectrum involving displaced one‐dimensional Morse wells.Keywords
This publication has 35 references indexed in Scilit:
- On the calculation of time correlation functions in quantum systems: Path integral techniquesa)The Journal of Chemical Physics, 1983
- Equilibrium geometry and dynamics of the valence excited states of 1,3-butadieneThe Journal of Physical Chemistry, 1983
- On the semiclassical calculation of molecular absorption and fluorescence spectraThe Journal of Chemical Physics, 1982
- Time-dependent theory of Raman scatteringThe Journal of Chemical Physics, 1979
- Path integral representation of the reaction rate constant in quantum mechanical transition state theoryThe Journal of Chemical Physics, 1975
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Nuclear Motions Associated with Electron Transitions in Diatomic MoleculesPhysical Review B, 1928
- The quantum theory of dispersionProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1927
- Zur Quantentheorie der MolekelnAnnalen der Physik, 1927
- A Theory of Intensity Distribution in Band SystemsPhysical Review B, 1926