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pro vyhledávání: '"Neidhardt H"'
In recent joint papers the authors of this note solved a famous problem remained open for many years and proved that for arbitrary contractions with trace class difference there exists an integrable spectral shift function, for which an analogue of t
Externí odkaz:
http://arxiv.org/abs/2410.22529
Akademický článek
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We consider symmetric operators of the form $S := A\otimes I_{\mathfrak T} + I_{\mathfrak H} \otimes T$ where $A$ is symmetric and $T = T^*$ is (in general) unbounded. Such operators naturally arise in problems of simulating point contacts to reservo
Externí odkaz:
http://arxiv.org/abs/1710.07525
In this paper we prove that for an arbitrary pair $\{T_1,T_0\}$ of contractions on Hilbert space with trace class difference, there exists a function $\boldsymbol\xi$ in $L^1({\Bbb T})$ (called a spectral shift function for the pair $\{T_1,T_0\}$ ) s
Externí odkaz:
http://arxiv.org/abs/1705.07225
Publikováno v:
In Journal of Functional Analysis 1 March 2019 276(5):1575-1621
Publikováno v:
Springer Verlag, Berlin/Heidelberg, p.149-174, (2010)
We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the dimensiona
Externí odkaz:
http://arxiv.org/abs/0910.5846
Publikováno v:
Phys. Rev. B 79, 155305 (14 pages) (2009)
We investigate the scattering phenomena produced by a general finite-range nonseparable potential in a multi-channel two-probe cylindrical nanowire heterostructure. The multi-channel current scattering matrix is efficiently computed using the R-matri
Externí odkaz:
http://arxiv.org/abs/0812.3305
Publikováno v:
J. Differ. Equations 244, 2545-2577 (2008)
The main objective of this paper is to give a rigorous treatment of Wigner's and Eisenbud's $R$-matrix method for scattering matrices of scattering systems consisting of two selfadjoint extensions of the same symmetric operator with finite deficiency
Externí odkaz:
http://arxiv.org/abs/math-ph/0701052
Quantum systems which interact with their environment are often modeled by maximal dissipative operators or so-called Pseudo-Hamiltonians. In this paper the scattering theory for such open systems is considered. First it is assumed that a single maxi
Externí odkaz:
http://arxiv.org/abs/math-ph/0610088
Autor:
Neidhardt, H., Zagrebnov, V. A.
We present an abstract result on removing regularization for singular potentials which are not semibounded from below. The relation between ``right'' regularizations and ``right'' self-adjoint extensions of the perturbed Schr\"odinger operators is ex
Externí odkaz:
http://arxiv.org/abs/funct-an/9404002