On the semiclassical Einstein-Langevin equation
نویسندگان
چکیده
منابع مشابه
Backreaction in Semiclassical Cosmology: the Einstein-Langevin Equation
Using the influence functional formalism we show how to derive a generalized Einstein equation in the form of a Langevin equation for the description of the backreaction of quantum fields and their fluctuations on the dynamics of curved spacetimes. We show how a functional expansion on the influence functional gives the cumulants of the stochastic source, and how these cumulants enter in the eq...
متن کاملSemiclassical corrections to the Einstein equation and Induced Matter Theory
The induced Einstein equation on a perturbed brane in the Induced Matter Theory is reanalyzed. We indicate that in a conformally flat background, the local quantum corrections to the Einstein equation can be obtained via the IMT. Using the FRW metric as the 4D gravitational model, we show that the classical fluctuations of the brane may be related to the quantum corrections to the classical Ein...
متن کاملOn the Quantum Langevin Equation
Some 20 years ago, in a paper written jointly with Peter Mazur, we presented a discussion of the statistical mechanics of a coupled-oscil lator model of a heat bath. ~1) This model enabled us to obtain the quan tum mechanical form of the Langevin equat ion for a Brownian particle moving in an external potential. Ou r purpose here is to repeat this derivation, using a different, some would say s...
متن کاملThe chemical Langevin equation
The stochastic dynamical behavior of a well-stirred mixture of N molecular species that chemically interact through M reaction channels is accurately described by the chemical master equation. It is shown here that, whenever two explicit dynamical conditions are satisfied, the microphysical premise from which the chemical master equation is derived leads directly to an approximate time-evolutio...
متن کاملNonadiabatic Electron Transfer in the Condensed Phase , via Semiclassical and Langevin Equation Approach
In this dissertation, we discuss two methods developed during my PhD study to simulate electron transfer systems. The first method, the semi-classical approximation, is derived from the stationary phase approximation to the path integral in the spin-coherent representation. The resulting equation of motion is a classical-like ordinary differential equation subject to a two-ended boundary condit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1999
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)01068-0