Replacing the Breit-Wigner amplitude by the complex delta function to describe resonances

Details Replacing the Breit-Wigner amplitude by the complex delta function to describe resonances Replacing the Breit-Wigner amplitude by the complex delta function to describe resonances

2010-05-07

arxiv.org/abs/1005.1290v1

Prog. Theor. Phys. Suppl.184:516-522, 2010

Physics

Quantum Physics

Invited, refereed contribution to the proceedings of the YKIS2009 workshop, Kyoto, Japan.

Scientific paper

10.1143/PTPS.184.516

Whenever the Breit-Wigner amplitude appears in a calculation,there are many instances (e.g., Fermi's two-level system and the Weisskopf-Wigner approximation) where energy integrations are extended from the scattering spectrum of the Hamiltonian to the whole real line. Such extensions are performed in order to obtain a desirable, causal result. In this paper, we recall several of those instances and show that substituting the Breit-Wigner amplitude by the complex delta function allows us to recover such desirable results without having to extend energy integrations outside of the scattering spectrum.

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