BIOMAT Database Logo BIOMAT Database Logo

Generalized quantum Langevin equations from the forward-backward path integral. 1999

K Tsusaka
Department of Physics, Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan.

Kleinert and Shabanov [H. Kleinert and S. V. Shabanov, Phys. Lett. A 200, 224 (1995)] have derived the quantum Langevin equations from the Feynman-Vernon forward-backward path integral for a density matrix of a quantum system in a thermal oscillator bath. However, their derivation is confined to an Ohmic case. In this paper we derive the generalized quantum Langevin equations from the forward-backward path integral, by extending the Kleinert-Shabanov method to a general case.

UI MeSH Term Description Entries

Related Publications

K Tsusaka
Inexpensive modeling of quantum dynamics using path integral generalized Langevin equation thermostats.
March 2020, The Journal of chemical physics,
K Tsusaka
Generalized Langevin equations of Mori and quantum stochastic processes.
May 1989, Physical review. A, General physics,
K Tsusaka
Generalized quantum Langevin equations for high-electric-field transport.
June 1989, Physical review. B, Condensed matter,
K Tsusaka
From Langevin to generalized Langevin equations for the nonequilibrium Rouse model.
February 2013, Physical review. E, Statistical, nonlinear, and soft matter physics,
K Tsusaka
Accelerating the convergence of path integral dynamics with a generalized Langevin equation.
February 2011, The Journal of chemical physics,
K Tsusaka
Computing generalized Langevin equations and generalized Fokker-Planck equations.
July 2009, Proceedings of the National Academy of Sciences of the United States of America,
K Tsusaka
Calculating work in weakly driven quantum master equations: Backward and forward equations.
January 2016, Physical review. E,
K Tsusaka
Langevin equation path integral ground state.
August 2013, The journal of physical chemistry. A,
K Tsusaka
Real-Time Path Integral Methods, Quantum Master Equations, and Classical vs Quantum Memory.
December 2019, The journal of physical chemistry. B,
K Tsusaka
Fully Quantum Description of the Zundel Ion: Combining Variational Quantum Monte Carlo with Path Integral Langevin Dynamics.
June 2017, Journal of chemical theory and computation,
Copied contents to your clipboard!