Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
32 (1991), S. 3003-3007
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The Riemann sheet structure of the energy levels En(λ) of an N-dimensional symmetric matrix problem of the form H0+λH1 is discussed. It is shown that the singularities of the energy levels in the complex λ plane are related to avoided level crossings. It is argued that locally the sheet structure is like that of a two-, three-, or four-dimensional problem as far as two, three, or four adjacent levels are concerned. Expressions are given for adjacent levels displaying explicitly the Riemann sheet structure on a semiglobal footing.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.529044
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