19 citations · 23 across the 4 of their papers we have counts for
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Green's function for a Schroedinger operator and some related summation formulas
Attila B. von Keviczky, Nasser Saad, Richard L. Hall
Summation formulas are obtained for products of associated Lagurre polynomials by means of the Green's function K for the Hamiltonian H = -{d^2\over dx^2} + x^2 + Ax^{-2}, A > 0. K…
Temporally stable Coherent states for a free magnetic Schrödinger operator
K. Thirulogasanthar, Nasser Saad, Attila B. von Keviczky
Eigenfunctions and eigenvalues of the free magnetic Schrödinger operator, describing a spinless particle confined to an infinite layer of fixed width, are discussed in detail. The…
Friedrichs extensions of Schroedinger operators with singular potentials
Attila B. von Keviczky, Nasser Saad, Richard L. Hall
The Friedrichs extension for the generalized spiked harmonic oscillator given by the singular differential operator -D^2+ Bx^2 + Ax^{-2} + lambda x^{-alpha} (B>0, A >= 0) in L_2(0,…
Energy bounds for a class of singular potentials and some related series
Nasser Saad, Richard L. Hall, Attila B. von Keviczky
Perturbation expansions up to third order for the generalized spiked harmonic oscillator Hamiltonians H = -d^2/dx^2+ x^2 + A/x^2 + lambda/x^alpha, A >= 0, 2gamma > alpha, gamma=1+(…