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Title: Time dependence of Lippmann-Schwinger states
Authors: Dubey, Ritesh Kumar
Menon, V J
Tripathi, D N
Keywords: Schrödinger;Lippmann-Schwinger;Epsilon;Non-eigenstate;Time evolution;Fermi’s golden rule
Issue Date: Jan-2005
Publisher: CSIR
Abstract: Due to the presence of an infinitesimal parameter e in the resolvent, the Lippmann-Schwinger states cannot be strict eigenstates of the Hamiltonian, and their time evolution is very non-trivial (in agreement with Fermi’s golden rule). In sharp contrast, strict Schrödinger eigenstates cannot make transitions into free channels. Artefacts such as adiabatic switching, wave packets, or infinite time span are not needed in our analysis.
Page(s): 63-66
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.43(01) [January 2005]

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