The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries

Details The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries

2009-04-08

arxiv.org/abs/0904.1372v1

SIGMA 5 (2009), 043, 14 pages

Physics

Quantum Physics

Scientific paper

10.3842/SIGMA.2009.043

We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain how the non-obvious but correct analytical continuation is done. We will see that the physical basis for the non-obvious but correct analytic continuation lies in the invariance of the Hamiltonian under anti-unitary symmetries such as time reversal or PT.

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