66 citations · 301 across the 16 of their papers we have counts for
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Criterion for polynomial solutions to a class of linear differential equation of second order
Nasser Saad, Richard L. Hall, Hakan Ciftci
We consider the differential equations y''=λ_0(x)y'+s_0(x)y, where λ_0(x), s_0(x) are C^{\infty}-functions. We prove (i) if the differential equation, has a polynomial solution of…
Study of a class of non-polynomial oscillator potentials
Nasser Saad, Richard L. Hall, Hakan Ciftci
We develop a variational method to obtain accurate bounds for the eigenenergies of H = -Delta + V in arbitrary dimensions N>1, where V(r) is the nonpolynomial oscillator potential…
Gravitating semirelativistic N-boson systems
Richard L. Hall, Wolfgang Lucha
Analytic energy bounds for N-boson systems governed by semirelativistic Hamiltonians of the form H=\sum_{i=1}^N(p_i^2 + m^2)^{1/2} - sum_{1=i<j}^N v/r_{ij}, with v>0, are derived b…
Semirelativistic stability of N-boson systems bound by 1/r pair potentials
Richard L. Hall, Wolfgang Lucha
We analyze a system of self-gravitating identical bosons by means of a semirelativistic Hamiltonian comprising the relativistic kinetic energies of the involved particles and added…