The Electron Localization Problem Via a Local Functional Integral Approach-Reference-Cited by-同舟云学术

The Electron Localization Problem Via a Local Functional Integral Approach

Published:1998-04-10 Issue:08 Volume:12 Page:301-308
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Botelho L. C.¹,da Silva E. P.¹,Lyra M. L.²,Cavalcanti S. B.²

Affiliation:

1. Departamento de Física, Universidade Federal Rural do Rio de Janeiro, Itaguaí, RJ 23851, Brazil

2. Departamento de Física, Universidade Federal de Alagoas, Maceió AL 57072/970, Brazil

Abstract

We employ a path integral representation for the three-dimensional Schrödinger equation describing the motion of a quantum particle in a static random potential. Within a semi-classical approximation (pure phase wave function) and a one-loop order path integral evaluation, we obtain three-dimensional electron localization in the presence of static disorder and zero temperature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798499800038X

Reference4 articles.

1. Dynamic Scaling of Growing Interfaces

2. Excess Noise for Driven Diffusive Systems

3. Burgers equation with correlated noise: Renormalization-group analysis and applications to directed polymers and interface growth

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1. Feynman path-integral representations for the classical harmonic oscillator with stochastic frequency;Journal of Physics A: Mathematical and General;2001-03-19

2. A Simple Path Integral Argument of the One-Dimensional Quantum Electron Localization and the 3D Bell Path Integral Representation;Modern Physics Letters B;1998-11-20