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5 votes
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What are the orthogonal polynomials with respect to the weight $2\cosh(\beta x)e^{-x^2}$?

In the study of a statistical physics problem, I need to know the orthogonal polynomials with respect to the weight $$2\cosh(\beta x)e^{-x^2},$$ where $\beta \in \mathbb{R}^+$. Is this already known? …
Jia Yiyang's user avatar
1 vote
0 answers
177 views

Simultaneous diagonalization of the tensor products of Dirac gamma matrices

Let $\gamma_i\ (i=1,2,\ldots N)$ be the Dirac gamma matrices satisfying the Clifford algebra $$\gamma_i\gamma_j+\gamma_j\gamma_i=2\delta_{ij} I\ \ (i,j=1,2,\ldots,N).$$ Then the tensor products $\gamm …
Jia Yiyang's user avatar