Boundary conditions for one-dimensional Feshbach–Villars equation
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Date
2000
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Abstract
We solve the one-dimensional Feshbach–Villars equation for spinless particle subjected to a scalar smooth potential. The
wave function is given in terms of the hypergeometric function and via a limiting procedure, the wave functions of the step
potential are deduced. Then, the appropriate boundary conditions for the step potential are deduced using the two-component
form.