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On the Non-Orthonormality of Lippmann-Schwinger-Low States

V. J. Menon·B. K. Patra
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Abstract

It is pointed out that for a general short-ranged potential the Lippmann-Schwinger-Low scattering state $|ψ^L_k>$ does not strictly satisfy the Schrodinger eigen equation, and the pair $|ψ^L_n>$, $|ψ^L_k>$ is mutually nonorthogonal if $E_n=E_k$. 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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V. J. Menon, B. K. Patra. 2001-12-18. On the Non-Orthonormality of Lippmann-Schwinger-Low States. https://arxiv.org/abs/quant-ph/0002042

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