Random matrices and quantum Hamilton-Jacobi method

In this paper, we start with the quantum Hamilton-Jacobi approach and show that the underlying complex pole evolution of the Schrödinger equation is described by the quantum action in terms of a random matrix. The wave function is given by the random matrix probability distribution function. In lite...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2022, Vol.231 (2), p.151-158
Main Authors: Haritha, K., Chaitanya, K. V. S. Shiv
Format: Article
Language:English
Subjects:
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Distribution functions
Dynamics and Strings: A Centennial Issue in Honor of Yoichiro Nambu
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Probability distribution functions
Regular Article
Schrodinger equation
Symmetry
Wave functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we start with the quantum Hamilton-Jacobi approach and show that the underlying complex pole evolution of the Schrödinger equation is described by the quantum action in terms of a random matrix. The wave function is given by the random matrix probability distribution function. In literature this is known as the famous Cole-Hopf Transformation.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-021-00363-y