06-101 R. de la Madrid

The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets (192K, zipped tar file) Mar 30, 06

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Abstract. The analytic continuation of the Lippmann-Schwinger bras and kets is obtained and characterized. It is shown that the natural mathematical setting for the analytic continuation of the solutions of the Lippmann-Schwinger equation is the rigged Hilbert space rather than just the Hilbert space. It is also argued that this analytic continuation entails the imposition of a time asymmetric boundary condition upon the group time evolution, resulting into a semigroup time evolution. Physically, the semigroup time evolution is simply a (retarded or advanced) propagator.

Files: 06-101.src( 06-101.keywords , iopams.sty , 06jpaII.tex , iopart.cls , iopart10.clo , iopart12.clo , setstack.sty , etas.eps , gammas.eps , lsur.eps )