Schrodinger operators and associated hyperbolic pencils

Details Schrodinger operators and associated hyperbolic pencils Schrodinger operators and associated hyperbolic pencils

2009-08-25

arxiv.org/abs/0908.3682v1

J. Funct. Anal., Vol. 254, 2008, 2186-2226

Mathematics

Spectral Theory

perprint, final version published in Journal Funct. Anal

Scientific paper

For a large class of Schrodinger operators, we introduce the hyperbolic
quadratic pencils by making the coupling constant dependent on the energy in
the very special way. For these pencils, many problems of scattering theory are
easier to study. Then, we give some applications to the original Schrodinger
operators.

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