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6 papers · 1 filter
Comment on ''Exceptional points and double poles of the S matrix''
C. Dembowski, B. Dietz, H. -D. Graef +4
In a recent paper [Phys. Rev. E 67, 026204 (2003)], Rotter calculates the geometric phases that are picked up by the eigenvectors of a two-state quantum system when an exceptional…
Gauge checks, consistency of approximation schemes and numerical evaluation of realistic scattering amplitudes
Christian Schwinn
We discuss both theoretical tools to verify gauge invariance in numerical calculations of cross sections and the consistency of approximation schemes used in realistic calculations…
Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra
Wolfgang Bertram, Karl-Hermann Neeb
A geometric realization of the projective completion of the Jordan pair corresponding to a three-graded Lie algebra is given which permits to develop a geometric structure theory o…
Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
O. Zobay, B. M. Garraway
We discuss a method to create two-dimensional traps as well as atomic shell, or bubble, states for a Bose-Einstein condensate initially prepared in a conventional magnetic trap. Th…
Forests, Groves and Higgs Bosons: Gauge Invariance Classes in Spontaneously Broken Gauge Theories
T. Ohl, C. Schwinn
We determine the gauge invariance classes of tree level Feynman diagrams in spontaneously broken gauge theories, providing a proof for the formalism of gauge and flavor flips. We f…
Implicit Functions from Topological Vector Spaces to Banach Spaces
Helge Glockner
We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings f…