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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 →+0 at the end of the analysis, with being an infinitesimal adiabatic parameter has been re-examined. It is found that the LSL state |Lk)does not strictly satisfy the Schrodinger eigen equation, and the pair |Ln),|Lk) is mutually non-orthogonal if En = Ek, n ≠ k. For this purpose a new type of projection operator 0k, a non-linear relation among transition amplitudes, and a separable interaction as illustration have been used.
Page(s): 485-491
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.42(07) [July 2004]

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