Semiclassical Approximations to Quantum Dynamical Time Correlation Functions.

Abstract

Semiclassical approximations for quantum time correlation functions are presented for both electronically adiabatic and nonadiabatic dynamics along wfth discussions of the operator ordering and the classical limit. With the combined use of the initial value representation of the semiclassical propagator, a discrete algorithm to evaluate the Jacobi matrices, semiclassical operator ordering rules, and the stationary phase filter technique, a practical algorithm is developed to calculate quantum time correlation functions. This approach holds considerable promise for simulating the quantum dynamics of realistic many body systems. Some simple illustrative examples are used to demonstrate the feasibility and accuracy of the algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Oct 09, 1995
Accession Number
ADA300432

Entities

People

  • Gregory A. Voth
  • Jianshu Cao

Organizations

  • University of Pennsylvania

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundary Value Problems
  • Chemical Reactions
  • Chemistry
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Distribution Functions
  • Dynamics
  • Equations
  • Molecular Dynamics
  • Path Integrals
  • Quantum Mechanics
  • Quantum Tunneling
  • Simulations
  • Stationary

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Quantum Chemistry
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Quantum Computing