A new semiclassical dynamics from the interaction representation

作者：Schwartz SD^*

来源：Journal of Theoretical and Computational Chemistry, 2005, 4(4): 1093-1100.

DOI：10.1142/S0219633605001908

• semiclassical
• gaussian wavepacket
• exact propagator

This paper develops a new semiclassical mechanics from an exact quantum prescription. In this formulation, a zeroth order propagation, rather than Hamiltonian, is specified. The exact, full evolution operator is then given from a specific interaction representation of the evolved "perturbation" Hamiltonian. We then investigate a variety of approximate, semiclassical, and mixed Quantum/Classical methods, along with exact methodologies to evaluate this time dependent interaction Hamiltonian. The approximate full evolution operator can be described in a variety of ways including an iterated Lippman-Schwinger like equation, and an expansion of the perturbation propagator generated from the time evolved Hamiltonian.

• 出版日期2005-12
• 单位上海生物信息技术研究中心