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math.AP2024
Integrated density of states for the sub-Laplacian on Heisenberg groups
Zouhaïr Mouayn
We rederive the expression of the integrated density of states for \ the sub-Laplacian on Heisenberg groups by using its resolvent kernel.
quant-ph2024
Generalized coherent states for the harmonic oscillator by the J-matrix method with an extension to the Morse potential
Hashim A. Yamani, Zouhaïr Mouayn
While dealing with the J-Matrix method for the harmonic oscillator to write down its tridiagonal matrix representation in an orthonormal basis of L2(R); we rederive a set of genera…
math-ph2024
A phase space localization operator in negative binomial states
Zouhair Mouayn, Soumia Touhami
We are dealing with some spectral properties of a phase space localization operator PR corresponding to the indicator function of a disk of radius R < 1. The localization procedure…