The scattering problem in quantum mechanics as an eigenvalue problem
| Autor: | Igor V. Puzynin, T.P. Puzynina, L.I Ponomarev, L.N. Somov |
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| Rok vydání: | 1978 |
| Předmět: |
Elastic scattering
Physics Scattering Iterative method MathematicsofComputing_NUMERICALANALYSIS General Physics and Astronomy Mathematics::Spectral Theory symbols.namesake Quantum mechanics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Inverse scattering problem symbols Initial value problem Scattering theory Newton's method ComputingMethodologies_COMPUTERGRAPHICS S-matrix |
| Zdroj: | Annals of Physics. 110:274-286 |
| ISSN: | 0003-4916 |
| Popis: | A method is proposed which allows the scattering problem to reduce to the eigenvalue problem. Unlike the usual method when the scattering phase is extracted from the asymptotics of solution of the Cauchy problem at a given collision energy, in the proposed method the collision energy is obtained from the solution of the Sturm-Liouville problem at a given scattering phase. The continuous analog of the Newton method is used for the numerical realization of the proposed method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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