Random Matrices and Quantum Hamilton-Jacobi Method

• URL: http://arxiv.org/abs/2107.06494v1
• Date: Wed, 14 Jul 2021 05:45:44 GMT
• Title: Random Matrices and Quantum Hamilton-Jacobi Method
• Authors: K. Haritha and K.V.S.Shiv Chaitanya
• Abstract summary: We 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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