2018/01/02 by K. V. S. Shiv Chaitanya, Chaitanya, K. V. S. Shiv, Bindu A. Bambah +2 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1801.00544
14 pages
arxiv created 2018/01/02 · openalex publication_date 2018/01/02 · arxiv updated 2018/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the quantum Hamilton Jacobi approach to a class of quantum mechanical bound state problems and the Gaussian orthogonal ensemble of random matrix theory are equivalent. The Berry connection for both problems is identical to their quantum momentum function.The potential that appears in the joint probability distribution function in the random matrix theory is a super potential allowing us to apply it to exceptional polynomials.