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arXiv · 2107.06494

Random Matrices and Quantum Hamilton-Jacobi Method

K. Haritha·K. V. S. Shiv Chaitanya
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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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K. Haritha, K. V. S. Shiv Chaitanya. 2021-07-14. Random Matrices and Quantum Hamilton-Jacobi Method. https://doi.org/10.1140/epjs%2Fs11734-021-00363-y

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