Wave operators for singular asymmetric perturbation of a self-adjoint operator
1 Department of Mathematical Physics and Differential Equations, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, 01001, Ukraine
Keywords:
wave operators, singular non-symmetrical drilling, self-conjugate operator, scattering matrix
Abstract
We provide with the wave operators for a rank one of singular non-symmetric perturbation $Ã = A + α 〈⋅,ω_1〉 ω_2$ of a self-adjoint semi-bounded operator $A,$ that is, the operator which is perturbed by a non-symmetric potential $ω_1 ≠ ω_2$ . The expressions are given in the strong sense. The scattering matrix is also given.
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Cite
- ACS Style
- Vdovenko, T.I.; Dudkin, M.E. Wave operators for singular asymmetric perturbation of a self-adjoint operator. Bukovinian Mathematical Journal. 2016, 3
- AMA Style
- Vdovenko TI, Dudkin ME. Wave operators for singular asymmetric perturbation of a self-adjoint operator. Bukovinian Mathematical Journal. 2016; 3(1).
- Chicago/Turabian Style
- Tetyana Ivanivna Vdovenko, Mykola Evgenovich Dudkin. 2016. "Wave operators for singular asymmetric perturbation of a self-adjoint operator". Bukovinian Mathematical Journal. 3 no. 1.
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