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Generalized functional theory of interacting coupled Liouvillean Quantum Fields of condensed matter

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Density Functional Theory II

Part of the book series: Topics in Current Chemistry ((TOPCURRCHEM,volume 181))

Abstract

A large class of time-dependent quantum problems involves strongly interacting coupled fields requiring self-consistent non-perturbative and non-adiabatic approaches. We present here a general framework for analyzing these, based on Liouvillean Quantum Field Dynamics. Thus a multifunctional extension of the time-dependent density functional approach to many-body problems is set up. We also generalize the time-dependent non-equilibrium Green function method of Schwinger and Keldysh including all the relevant fields. We thus enlarge the context of the φ-derivable, effective action functional theory of Baym for transport phenomena involving all relevant fields consistent with the conservation laws. This formalism is essential in understanding very-short time quantum dynamics of coupled fields of electrons, ions, and electromagnetic fields, as in nanoelectronic and optoelectronic devices, quantum dots in intense laser beams, micro-cavity quantum electrodynamics, as well as strongly coupled electron-phonon (high TC), electron-photon (laser-atom systems), and molecular dynamic systems.

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Authors and Affiliations

  1. Naval Research Laboratory, 20375, Washington D.C., USA

    A. K. Rajagopal & F. A. Buot

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  1. A. K. Rajagopal
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  2. F. A. Buot
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R. F. Nalewajski

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© 1996 Springer-Verlag

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Rajagopal, A.K., Buot, F.A. (1996). Generalized functional theory of interacting coupled Liouvillean Quantum Fields of condensed matter. In: Nalewajski, R.F. (eds) Density Functional Theory II. Topics in Current Chemistry, vol 181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016644

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  • DOI: https://doi.org/10.1007/BFb0016644

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  • Print ISBN: 978-3-540-61092-2

  • Online ISBN: 978-3-540-49946-6

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