On the analytic properties of the S-matrix for the unknown interactions surrounded by centrifugal and rapidly decreasing potentials

• Autorzy: Vladislav Olkhovsky
• Języki publikacji: EN

Abstrakty

EN

The analytic structure of the non-relativistic unitary and non-unitary S-matrix is investigated for the cases of the unknown interactions with the unknown motion equations inside a sphere of radius a, surrounded by the centrifugal and rapidly decreasing (exponentially or by the Yukawian law or by the more rapidly decreasing) potentials. The one-channel case and special examples of many-channel cases are considered. Some kinds of symmetry conditions are imposed. The Schroedinger equation for r > a for the particle motion and the condition of the completeness of the correspondent wave functions are assumed. The connection of the obtained results with the usual (temporal) causality is examined. Finally a scientific program is presented as a clear continuation and extension of the obtained results.

Słowa kluczowe

EN

S-matrix; completeness of external wave functions; causality; time delay; analytic properties

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 13-44

Daty

wydano

2011-02-01

online

2010-09-24

Twórcy

autor

Vladislav Olkhovsky

• Institute for Nuclear Research of NASU, prospekt Nauki, 47, Kiev, 03028, Ukraine,

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Identyfikatory

DOI

10.2478/s11534-010-0030-z