The Theory of a general quantum system interacting with a linear dissipative system
TLDR
In this paper, a formalism has been developed, using Feynman's space-time formulation of nonrelativistic quantum mechanics whereby the behavior of a system of interest, which is coupled to other external quantum systems, may be calculated in terms of its own variables only.About:
This article is published in Annals of Physics.The article was published on 1963-10-01 and is currently open access. It has received 2288 citations till now. The article focuses on the topics: Linear system & Quantum system.read more
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Reaction-rate theory: fifty years after Kramers
TL;DR: In this paper, the authors report, extend, and interpret much of our current understanding relating to theories of noise-activated escape, for which many of the notable contributions are originating from the communities both of physics and of physical chemistry.
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Dynamics of the dissipative two-state system
Anthony J. Leggett,Sudip Chakravarty,Alan T. Dorsey,Matthew P. A. Fisher,Anupam Garg,Wilhelm Zwerger +5 more
TL;DR: In this article, a functional-integral approach to the dynamics of a two-state system coupled to a dissipative environment is presented, and an exact and general prescription for the reduction, under appropriate circumstances, of the problem of a system tunneling between two wells in the presence of dissipative environments to the spin-boson problem is given.
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Decoherence, einselection, and the quantum origins of the classical
TL;DR: In this article, it was shown that many of the symptoms of classicality can be induced in quantum systems by their environments, which leads to environment-induced superselection or einselection, a quantum process associated with selective loss of information.
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Path integral approach to quantum Brownian motion
TL;DR: In this paper, the authors apply the influence-functional method of Feynman and Vernon to the study of Brownian motion at arbitrary temperature and obtain an explicit expression for the time evolution of the complete density matrix ϱ(x, x, x′, t) when the system starts in a particular kind of pure state.
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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
Ralf Metzler,Joseph Klafter +1 more
TL;DR: Fractional dynamics has experienced a firm upswing during the past few years, having been forged into a mature framework in the theory of stochastic processes as mentioned in this paper, and a large number of research papers developing fractional dynamics further, or applying it to various systems have appeared since our first review article on the fractional Fokker-Planck equation.
References
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Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems
TL;DR: In this paper, a general type of fluctuation-dissipation theorem is discussed to show that the physical quantities such as complex susceptibility of magnetic or electric polarization and complex conductivity for electric conduction are rigorously expressed in terms of timefluctuation of dynamical variables associated with such irreversible processes.
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Resonance Absorption by Nuclear Magnetic Moments in a Solid
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Space-Time Approach to Non-Relativistic Quantum Mechanics
TL;DR: In this paper, the authors formulated non-relativistic quantum mechanics in a different way and showed that the probability of an event which can happen in several different ways is the absolute square of a sum of complex contributions, one from each alternative way.
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Thermal Agitation of Electric Charge in Conductors
TL;DR: In this article, the electromotive force due to thermal agitation in conductors is calculated by means of principles in thermodynamics and statistical mechanics, and the results obtained agree with results obtained experimentally.