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Density of States Extracted from Modified Recursion Relations
H. Bahlouli, A. D. Alhaidari, M. S. Abdelmonem
We evaluate the density of states (DOS) associated with tridiagonal symmetric Hamiltonian matrices and study the effect of perturbation on one of its entries. Analysis is carried o…
Supersymmetric Jaynes-Cummings model and its exact solutions
A. D. Alhaidari
The super-algebraic structure of a generalized version of the Jaynes-Cummings model is investigated. We find that a Z2 graded extension of the so(2,1) Lie algebra is the underlying…
Representation reduction and solution space contraction in quasi-exactly solvable systems
A. D. Alhaidari
In quasi-exactly solvable problems partial analytic solution (energy spectrum and associated wavefunctions) are obtained if some potential parameters are assigned specific values.…
Scattering theory with a natural regularization: Rediscovering the J-matrix method
A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem +2
In three dimensional scattering, the energy continuum wavefunction is obtained by utilizing two independent solutions of the reference wave equation. One of them is typically singu…