# Random Matrices and Quantum Hamilton-Jacobi Method

Source: [Random Matrices and Quantum Hamilton-Jacobi Method](<https://www.sota2.com/research/paper/68fa40c31e209131ce8f5c81>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T02:57:52.460Z

Authors: K. Haritha, K.V.S.Shiv Chaitanya

Published: 2021-07-14T05:45:44.000Z

## Abstract

In this paper, we start with the quantum Hamilton-Jacobi approach and show that the underlying complex pole evolution of the Schr\\"odinger 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2107.06494>)

[PDF](<https://arxiv.org/pdf/2107.06494.pdf>)