Quantum Mechanics with Random Imaginary Scalar Potential
Disordered Systems and Neural Networks
2009-10-31 v1 Statistical Mechanics
Abstract
We study spectral properties of a non-Hermitian Hamiltonian describing a quantum particle propagating in a random imaginary scalar potential. Cast in the form of an effective field theory, we obtain an analytical expression for the ensemble averaged one-particle Green function from which we obtain the density of complex eigenvalues. Based on the connection between non-Hermitian quantum mechanics and the statistical mechanics of polymer chains, we determine the distribution function of a self-interacting polymer in dimensions .
Cite
@article{arxiv.cond-mat/9811260,
title = {Quantum Mechanics with Random Imaginary Scalar Potential},
author = {A. V. Izyumov and B. D. Simons},
journal= {arXiv preprint arXiv:cond-mat/9811260},
year = {2009}
}
Comments
10 pages, 1 eps figure