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Multichannel and Multidimensional Bargmann Potentials
Author(s) -
Plekhanvov E. B.,
Suzko A. S.,
Zakhariev B. N.
Publication year - 1982
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19824940502
Subject(s) - generalization , kernel (algebra) , physics , inverse , channel (broadcasting) , inverse problem , schrödinger equation , class (philosophy) , coordinate system , mathematical physics , mathematics , mathematical analysis , pure mathematics , quantum mechanics , computer science , geometry , telecommunications , artificial intelligence
The class of potential matrices for which coupled channel Schrödinger equations have exact solutions is presented. This is achieved due to degeneration of the kernel of the inverse‐problem integral equation with respect to the channel indices, in addition to separability of its coordinate dependence. No attention has been paid before to this fact. Maybe therefore there was no satisfactory multichannel generalization of Bargmann potentials. Partially nonlocal Bargmann potentials for multidimensional and many‐particle systems are constructed. Examples of new transparent potentials are given.