# Exact solution of the Schrodinger equation across an arbitrary one-dimensional piecewise-linear potential barrier

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This paper establishes a new criteria for obtaining a sequence of upper and lower bounds for the ground state eigenvalue of SchrÃ¶dinger equation -Î”Î¨(r)+V (r)Î¨(r) = EÎ¨(r) in N spatial dimensions. Based on this proposed criteria, we prove a new comparison theorem in quantum...

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