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arXiv · 0904.1372

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

Rafael de la Madrid
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Abstract

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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Rafael de la Madrid. 2009-04-08. The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries. https://doi.org/10.3842/sigma.2009.043

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