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The scattering problem in quantum mechanics as an eigenvalue problem

✍ Scribed by L.I Ponomarev; I.V Puzynin; T.P Puzynina; L.N Somov

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
641 KB
Volume
110
Category
Article
ISSN
0003-4916

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✦ Synopsis

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 asymptotits 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.

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