The interaction representation and nonadiabatic corrections to adiabatic evolution operators. II. Nonlinear quantum systems
- 22 May 1996
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 104 (20) , 7985-7987
- https://doi.org/10.1063/1.471514
Abstract
This paper reports further applications of the recently developed interaction representation form of infinite order operator corrections to adiabatic evolution operators. Previous work derived the form of the correction, and applied the methodology to a bilinearly coupled system bath model. In this paper we present results on coupled quantum systems in which the coupling is highly nonlinear. The method is both easy to implement and numerically accurate.Keywords
This publication has 13 references indexed in Scilit:
- Nonadiabatic effects in a method that combines classical and quantum mechanicsThe Journal of Chemical Physics, 1996
- The interaction representation and nonadiabatic corrections to adiabatic evolution operatorsThe Journal of Chemical Physics, 1996
- Vibrational energy transfer in linear hydrocarbon chains: New quantum resultsThe Journal of Chemical Physics, 1995
- Quantum theory of activated rate processes: A maximum free energy approachThe Journal of Chemical Physics, 1995
- Accurate quantum mechanics from high order resummed operator expansionsThe Journal of Chemical Physics, 1994
- Multidimensional path integral calculations with quasiadiabatic propagators: Quantum dynamics of vibrational relaxation in linear hydrocarbon chainsThe Journal of Chemical Physics, 1992
- Operator expansions for multidimensional problems: New developments and applicationsThe Journal of Chemical Physics, 1992
- Effective Feynman propagators and Schrödinger equations for processes coupled to many degrees of freedomThe Journal of Chemical Physics, 1992
- Rigorous formulation of quantum transition state theory and its dynamical correctionsThe Journal of Chemical Physics, 1989
- On the exponential solution of differential equations for a linear operatorCommunications on Pure and Applied Mathematics, 1954