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Spectral analysis in the case of a complex potential

Abstract : We extend to complex potentials a method developed to solve the inverse problem from bound states in the case of a local real potential. A first example is presented, which is based on a complex version of the Kratzer potential. In this case, the Schrödinger equation admits analytical solutions, providing us with a test of the method. The application to the π−–28Si and K−–208Pb hadronic atoms shows the possibilities and limitations of our approach.
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http://hal.in2p3.fr/in2p3-00358898
Contributor : Sophie Heurteau <>
Submitted on : Wednesday, February 4, 2009 - 5:41:38 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:14 PM

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R. Mezhoud, F.Z. Ighezou, R.J. Lombard. Spectral analysis in the case of a complex potential. Journal of Physics G: Nuclear and Particle Physics, IOP Publishing, 2009, 36, pp.025003. ⟨10.1088/0954-3899/36/2/025003⟩. ⟨in2p3-00358898⟩

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