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Indian Journal of Pure & Applied Physics (IJPAP) >
IJPAP Vol.42 [2004] >
IJPAP Vol.42(07) [July 2004] >
| 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) |
| Source: | IJPAP Vol.42(07) [July 2004]
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