Zobrazeno 1 - 10
of 524
pro vyhledávání: '"Gesztesy, F."'
We prove a generalized Birman-Schwinger principle in the non-self-adjoint context. In particular, we provide a detailed discussion of geometric and algebraic multiplicities of eigenvalues of the basic operator of interest (e.g., a Schr\"odinger opera
Externí odkaz:
http://arxiv.org/abs/2005.01195
Akademický článek
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Publikováno v:
St. Petersburg Mathematical Journal; 4/12/2024, Vol. 35 Issue 1, p101-138, 38p
Publikováno v:
Discrete Contin. Dyn. Syst. 26:1, 151-196 (2010)
We discuss the algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy with complex-valued initial data and prove unique solvability globally in time for a set of initial (Dirichlet divisor) data of full measure. To this effect we de
Externí odkaz:
http://arxiv.org/abs/0706.3370
We prove a generalization of the well-known theorems by Borg and Hochstadt for periodic self-adjoint Schr\"odinger operators without a spectral gap, respectively, one gap in their spectrum, in the matrix-valued context. Our extension of the theorems
Externí odkaz:
http://arxiv.org/abs/math/0201019
We provide a complete treatment of algebro-geometric solutions of the classical massive Thirring system. In particular, we study Dubrovin-type equations for auxiliary divisors, consider the corresponding algebro-geometric initial value problem, and d
Externí odkaz:
http://arxiv.org/abs/nlin/0004008
Autor:
Gesztesy, F., Ramm, A. G.
We study quantum scattering theory off $n$ point inhomogeneities ($n\in\bbN$) in three dimensions. The inhomogeneities (or generalized point interactions) positioned at $\{\xi_1,...,\xi_n\}\subset\bbR^3$ are modeled in terms of the $n^2$ (real) param
Externí odkaz:
http://arxiv.org/abs/math/9911086
Autor:
Gesztesy, F., Simon, B.
We provide a new short proof of the following fact, first proved by one of us in 1998: If two Weyl-Titchmarsh m-functions, $m_j(z)$, of two Schr\"odinger operators $H_j = -\f{d^2}{dx^2} + q_j$, j=1,2 in $L^2 ((0,R))$, $0
Externí odkaz:
http://arxiv.org/abs/math/9910089
Publikováno v:
CMS Conf. Proc. Series (AMS, Providence, RI) {\bf 29} (2000), 207-222
Let $H_0$ and $V(s)$ be self-adjoint, $V,V'$ continuously differentiable in trace norm with $V''(s)\geq 0$ for $s\in (s_1,s_2)$, and denote by $\{E_{H(s)}(\lambda)\}_{\lambda\in\bbR}$ the family of spectral projections of $H(s)=H_0+V(s)$. Then we pro
Externí odkaz:
http://arxiv.org/abs/math/9909076
A spectral mapping theorem is proved that resolves a key problem in applying invariant manifold theorems to nonlinear Schr\" odinger type equations. The theorem is applied to the operator that arises as the linearization of the equation around a stan
Externí odkaz:
http://arxiv.org/abs/solv-int/9907017