dorsal/arxiv
View SchemaOn the Non-Orthonormality of Lippmann-Schwinger-Low States
| Authors | V. J. Menon, B. K. Patra |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002042 |
| URL | https://arxiv.org/abs/quant-ph/0002042 |
Abstract
It is pointed out that for a general short-ranged potential the Lippmann-Schwinger-Low scattering state $|\psi^L_k>$ does not strictly satisfy the Schrodinger eigen equation, and the pair $|\psi^L_n>$, $|\psi^L_k>$ is mutually nonorthogonal if $E_n=E_k$. For this purpose, we carefully use an infinitesimal adiabatic parameter $\epsilon$, a nonlinear relation among transition amplitudes, and a separable interaction as illustration.
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"abstract": "It is pointed out that for a general short-ranged potential the\nLippmann-Schwinger-Low scattering state $|\\psi^L_k\u003e$ does not strictly satisfy\nthe Schrodinger eigen equation, and the pair $|\\psi^L_n\u003e$, $|\\psi^L_k\u003e$ is\nmutually nonorthogonal if $E_n=E_k$. For this purpose, we carefully use an\ninfinitesimal adiabatic parameter $\\epsilon$, a nonlinear relation among\ntransition amplitudes, and a separable interaction as illustration.",
"arxiv_id": "quant-ph/0002042",
"authors": [
"V. J. Menon",
"B. K. Patra"
],
"categories": [
"quant-ph"
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"title": "On the Non-Orthonormality of Lippmann-Schwinger-Low States",
"url": "https://arxiv.org/abs/quant-ph/0002042"
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