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Related Experiment Videos

Memory in time-dependent density functional theory.

Neepa T Maitra1, Kieron Burke, Chris Woodward

  • 1Department of Chemistry and Chemical Biology, Rutgers University, 610 Taylor Road, Piscataway, New Jersey 08854, USA.

Physical Review Letters
|July 5, 2002
PubMed
Summary
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Exact time-dependent density functionals capture system history and initial states. This study reveals history dependence is equivalent to initial-state dependence, offering new pathways for time-dependent density functional theory calculations.

Area of Science:

  • Quantum Chemistry
  • Computational Physics

Background:

  • Time-dependent density functional theory (TDDFT) is a powerful quantum mechanical method.
  • TDDFT calculations require knowledge of the system's initial state and its evolution over time.
  • Understanding the theoretical underpinnings of TDDFT is crucial for accurate predictions.

Purpose of the Study:

  • To investigate the relationship between historical density dependence and initial wave function dependence in exact time-dependent density functionals.
  • To demonstrate that all history dependence can be reformulated as initial-state dependence.
  • To establish a method for accessing excited-state densities within the TDDFT framework.

Main Methods:

  • Theoretical analysis of exact time-dependent density functionals.
  • Mathematical reformulation of history dependence in terms of initial-state dependence.

Related Experiment Videos

  • Exploration of the connection to pseudo-prehistory for ground-state evolutions.

    • Main Results:

    • Demonstrated an intimate relationship between density history and initial wave function dependence.
    • Showed that all history dependence, including the exchange-correlation kernel, is equivalent to initial-state dependence.
    • Identified a pseudo-prehistory dependence for states evolving from a ground state.

    Conclusions:

    • History dependence in exact TDDFT is fundamentally linked to initial-state dependence.
    • This equivalence provides a novel theoretical pathway for calculating excited-state densities.
    • The findings offer a deeper understanding of TDDFT and its applications in quantum chemistry and physics.