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

• Authors: Vladislav Olkhovsky
• Languages of publication: EN

Abstracts

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.

Keywords

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 1
• Pages: 13-44

Dates

published

1 - 2 - 2011

online

24 - 9 - 2010

Contributors

author

Vladislav Olkhovsky

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

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Identifiers

DOI

10.2478/s11534-010-0030-z