Analytic properties of S-matrix
Abschlussbedingungen
- Expression for S-matrix in terms of Jost functions
- Regular solution and its relation to Jost functions
- Analyticity of the Regular solution
- Analytic continuation of Jost functions into complex plane
- Regions of analyticity of Jost functions and the S-matrix
- Extensions of analyticity for short-range potentials
- Distribution of poles of the S-matrix in the complex plane
- Resonances, virtual states, bound states as poles of the S-matrix
- Breit-Wigner form of resonant scattering cross section and phase shift
- Signatures of resonances and virtual states in scattering cross sections and phase shifts
- Riemann surface of S-matrix in complex energy plane: physical vs unphysical sheets.
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