Superoperator many-body theory of molecular currents: Non-equilibrium Green functions in real time

作者: Upendra Harbola , Shaul Mukamel

DOI: 10.1016/B978-044451719-7/50057-3

关键词: Current (mathematics)Many-body theoryQuantum mechanicsSpace (mathematics)Classical mechanicsHilbert spaceMathematicsObservableOperator (computer programming)Time evolutionSuperoperator

摘要: Publisher Summary This chapter discusses development of the nonequilibrium superoperator green function theory (NESGFT) and applied it to computation molecular current. The Liouville space-time ordering operator provides an elegant way for performing calculations in real time, thus avoiding artificial backward forward time evolution required Hilbert space (Keldysh loop). Wick's theorem superoperators is used compute self-energies perturbatively second order phonon–electron coupling. Recently, Galperin et al. have a fully self-consistent solution study influence different interactions on conductivity strong electron–phonon main aim present work demonstrate that by doing one can avoid backward/forward loop) space. originates from fact both ket bra evolve time. Thus, couple system with two independent, “left” “right” fields. property be construct (physical) generating functionals nonperturbative calculation self-energies. model ignores electron-electron interactions. These may treated using GW technique formulated terms extended situations. All observables obtained single functional operators.

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