Abstract
We prove that for the radial Dirac equation with Coulomb-type potential the generalized dynamical scattering operator coincides with the corresponding generalized stationary scattering operator. This fact is a quantum mechanical analogue of ergodic results in the classical mechanics.
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Acknowledgement
The author is grateful to A. Sakhnovich and I. Roitberg for fruitful discussions and help in the preparation of the manuscript.
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Sakhnovich, L. (2018). Dirac Equation: the Stationary and Dynamical Scattering Problems. In: Alpay, D., Kirstein, B. (eds) Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations. Operator Theory: Advances and Applications(), vol 263. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-68849-7_17
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DOI: https://doi.org/10.1007/978-3-319-68849-7_17
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