Add to ORKGDiffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein''s work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis. The book''s inspiration is Princeton University mathematics professor Edward Nelson''s influential work i
A basically quantum mechanical approach to the elementary diffusion process—the particle jump— is pr...
We derive an expression for the mean square displacement (MSD) of a particle whose motion is governe...
We derive a quantum linear Boltzmann equation from first principles to describe collisional friction...
The macroscopic laws of diffusion were laid down for the case of liquids by Adolf Fick 150 years ago...
Microscopically, nothing is ever still. Molecules of perfume from an open bottle will slowly diffuse...
In this paper, we introduce (at least formally) a diffusion effect that is based on an axiom postula...
The macroscopic laws of diffusion were laid down for the case of liquids by Adolf Fick 150 years ago...
If you place a drop of ink into a glass of water, the ink will slowly dissipate into the surrounding...
The paper concerns an “ab initio” theoretical model based on the space-time quantum uncertainty and...
The dynamics of a “kicked” quantum system undergoing repeated measurements of momentum is investigat...
One century after Einstein’s work, Brownian motion still remains both a fundamental open issue and a...
The dynamics of a “kicked” quantum system undergoing repeated measurements of momentum is investigat...
The macroscopic laws of diffusion were laid down for the case of liquids by Adolf Fick 150 years ago...
Brownian motion, fractional Brownian motion (fBm) and Levy motion are stochastic processes with stat...
A basically quantum mechanical approach to the elementary diffusion process—the particle jump— is pr...
A basically quantum mechanical approach to the elementary diffusion process—the particle jump— is pr...
We derive an expression for the mean square displacement (MSD) of a particle whose motion is governe...
We derive a quantum linear Boltzmann equation from first principles to describe collisional friction...
The macroscopic laws of diffusion were laid down for the case of liquids by Adolf Fick 150 years ago...
Microscopically, nothing is ever still. Molecules of perfume from an open bottle will slowly diffuse...
In this paper, we introduce (at least formally) a diffusion effect that is based on an axiom postula...
The macroscopic laws of diffusion were laid down for the case of liquids by Adolf Fick 150 years ago...
If you place a drop of ink into a glass of water, the ink will slowly dissipate into the surrounding...
The paper concerns an “ab initio” theoretical model based on the space-time quantum uncertainty and...
The dynamics of a “kicked” quantum system undergoing repeated measurements of momentum is investigat...
One century after Einstein’s work, Brownian motion still remains both a fundamental open issue and a...
The dynamics of a “kicked” quantum system undergoing repeated measurements of momentum is investigat...
The macroscopic laws of diffusion were laid down for the case of liquids by Adolf Fick 150 years ago...
Brownian motion, fractional Brownian motion (fBm) and Levy motion are stochastic processes with stat...
A basically quantum mechanical approach to the elementary diffusion process—the particle jump— is pr...
A basically quantum mechanical approach to the elementary diffusion process—the particle jump— is pr...
We derive an expression for the mean square displacement (MSD) of a particle whose motion is governe...
We derive a quantum linear Boltzmann equation from first principles to describe collisional friction...