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math-ph2025
Zernike polynomials from the tridiagonalization of the radial harmonic oscillator in displaced Fock states
Hashim A. Yamani, Zouhaïr Mouayn
We revisit the J-matrix method for the one dimensional radial harmonic oscillator (RHO) and construct its tridiagonal matrix representation within an orthonormal basis phi(z)n of L…
math-ph2025
Polyanalytic Hermite polynomials associated with the elliptic Ginibre model
Nizar Demni, Zouhaïr Mouayn
Motivated by the connection between the eigenvalues of the complex Ginibre matrix model and the magnetic Laplacian in the complex plane, we derive analogues of the complex Hermite…