415 citations
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math-ph2014★ 71 cited
Formula Method for Bound State Problems
Babatunde J. Falaye, Sameer M. Ikhdair, Majid Hamzavi
We present a simple formula for finding bound state solution of any quantum wave equation which can be simplified to the form of $Ψ"(s)+\frac{(k_1-k_2s)}{s(1-k_3s)}Ψ'(s)+\frac{(As^…
math-ph2012★ 19 cited
Exact solutions of a spatially-dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method
Mahdi Eshghi, Sameer M. Ikhdair
The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin…