On the Non-Orthonormality of Lippmann-Schwinger-Low States
V. J. Menon, B. K. Patra
Abstract
It is pointed out that for a general short-ranged potential the Lippmann-Schwinger-Low scattering state |ψLk> does not strictly satisfy the Schrodinger eigen equation, and the pair |ψLn>, |ψLk> is mutually nonorthogonal if En=Ek. For this purpose, we carefully use an infinitesimal adiabatic parameter ε, a nonlinear relation among transition amplitudes, and a separable interaction as illustration.
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