Please use this identifier to cite or link to this item: http://nopr.niscair.res.in/handle/123456789/9596
Title: Non-orthogonality of Lippmann-Schwinger-Low states
Authors: Menon, V J
Patra, B K
Dubey, Ritesh Kumar
Keywords: Scattering theory
Hamiltonian
Schrodinger
Resolvent
Issue Date: Jul-2004
Publisher: CSIR
Abstract: For the general short-ranged potential the Lippmann-Schwinger-Low (LSL) scattering formalism by taking the limit <img src='/image/spc_char/italics_e.gif' border=0>→+0 at the end of the analysis, with <img src='/image/spc_char/italics_e.gif' border=0> being an infinitesimal adiabatic parameter has been re-examined. It is found that the LSL state |<img src='/image/spc_char/phi.gif' border=0><sup>L</sup><sub>k</sub>)does not strictly satisfy the Schrodinger eigen equation, and the pair |<img src='/image/spc_char/phi.gif' border=0><sup>L</sup><sub>n</sub>),|<img src='/image/spc_char/phi.gif' border=0><sup>L</sup><sub>k</sub>) is mutually non-orthogonal if <i style="">E<sub>n</sub></i> = <i style="">E<sub>k</sub></i>, n ≠ <i>k</i>. For this purpose a new type of projection operator <img src='/image/spc_char/Etta.gif' border=0><sup>0</sup><sub>k</sub>, a non-linear relation among transition amplitudes, and a separable interaction as illustration have been used.
Description: 485-491
URI: http://hdl.handle.net/123456789/9596
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.42(07) [July 2004]

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