48 citations
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Showing 2017 · math-phShow all
3 papers · 2 filters
math-ph2017★ 23 cited
Open problem in orthogonal polynomials
A. D. Alhaidari
Using an algebraic method for solving the wave equation in quantum mechanics, we encountered a new class of orthogonal polynomials on the real line. It consists of a four-parameter…
math-ph2017★ 5 cited
Energy Density Bands Engineering
A. D. Alhaidari
We expand the quantum mechanical wavefunction in a complete set of square integrable orthonormal basis such that the matrix representation of the Hamiltonian operator is tridiagona…
math-ph2017★ 19 cited
Orthogonal polynomials derived from the tridiagonal representation approach
A. D. Alhaidari
The tridiagonal representation approach is an algebraic method for solving second order differential wave equations. Using this approach in the solution of quantum mechanical probl…