What question did this study set out to answer?

Formulate a macroscopic description of a quantum particle undergoing passive dissipation in an arbitrary external potential using a generalized Langevin equation.

June 1, 1988Civil War Book Review

Quantum Langevin equation

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Authors

GFG. W. FordUniversity of Michigan JLJ. T. LewisUniversity College Dublin ROR. F. O’ConnellLouisiana State University

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Implication

Theoretical analysis demonstrates exact formulations of quantum dissipation in open systems, indicating independent-oscillator models fully capture macroscopic quantum motion.

Key Points

Formulate a macroscopic description of a quantum particle undergoing passive dissipation in an arbitrary external potential using a generalized Langevin equation.
Coupled a quantum particle to an environmental heat bath via an operator-valued random force and a memory function mean force.
Derived analytical expressions for the correlation functions, commutators, and Fourier transforms of the fluctuating forces.
Constructed and evaluated an independent-oscillator heat bath model to assess realization of general dissipative equations.
Demonstrated that the quantum random force is strictly non-Markovian and provided explicit formulas for its correlation and commutator.
Proved that the Fourier transform of the memory function is a positive real analytic function in the upper half-plane.
Showed that the independent-oscillator heat bath model completely realizes the most general quantum Langevin equation.

Cite This Study

Ford et al. (1988) studied this question.

synapsesocial.com/papers/6a8965675c716ca1a5d441e3 https://doi.org/10.1103/physreva.37.4419

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Implication

Theoretical analysis demonstrates exact formulations of quantum dissipation in open systems, indicating independent-oscillator models fully capture macroscopic quantum motion.

Quantum Langevin equation

Discussion

Member takes

Implication

Key Points

Cite This Study

Quantum Langevin equation

Discussion

Member takes

Implication

Key Points

Cite This Study

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