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Level crossings and branch points studied by the multidimensional partitioning technique

✍ Scribed by Erkki Brändas; Piotr Froelich

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
450 KB
Volume
13
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

The possibility of level crossings is discussed from a general multidimensional partitioning viewpoint. By extending the traditional motion of a self‐adjoint Hamiltonian to a self‐adjoint analytic family of operators, it is found that level intersections that appear fall into two mutually exclusive categories: the conventional diagonal one corresponding to Jordan blocks of order m = 1, and the nondiagonal one with m ≥ 2. Consequences with respect to some recent examples, such as Longuet‐Higgins “sign‐reversing loop” construction and the ^1^II near degeneracy in SiO, are discussed and examined.

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