Nonadiabatic quantum Liouville and master equations in the adiabatic basis
- Department of Chemistry and Biochemistry, Queens College of the City University of New York, 65-30 Kissena Boulevard, Flushing, New York 11367-1597 (United States)
A compact form of nonadiabatic molecular Hamiltonian in the basis of adiabatic electronic states and nuclear position states is presented. The Hamiltonian, which includes both the first and the second derivative couplings, is Hermitian and thus leads to a standard expression for the quantum Liouville equation for the density operator. With the application of a projection operator technique, a quantum master equation for the diagonal components of the density operator is derived. Under the assumption that nuclear states are much more short ranged compared to electronic states and assuming no singularity, a semi-adiabatic approximation is invoked, which results in expressions for the nonadiabatic molecular Hamiltonian and the quantum Liouville equation that are much more amenable to advanced quantum dynamics calculation. The semi-adiabatic approximation is also applied to a resonance energy transfer system consisting of a donor and an acceptor interacting via Coulomb terms, and explicit detailed expressions for exciton-bath Hamiltonian including all the non-adiabatic terms are derived.
- OSTI ID:
- 22099133
- Journal Information:
- Journal of Chemical Physics, Vol. 137, Issue 22; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
Different flavors of nonadiabatic molecular dynamics
|
journal | April 2019 |
Perspective: Nonadiabatic dynamics theory
|
journal | December 2012 |
Improving long time behavior of Poisson bracket mapping equation: A non-Hamiltonian approach
|
journal | May 2014 |
Improving long time behavior of Poisson bracket mapping equation: A mapping variable scaling approach
|
journal | September 2014 |
The exact forces on classical nuclei in non-adiabatic charge transfer
|
journal | February 2015 |
Similar Records
Quantum-classical Liouville dynamics in the mapping basis
Nature of molecular resonances