scientific article

From MaRDI portal
Publication:3623395

zbMath1166.81004MaRDI QIDQ3623395

Gerald Teschl

Publication date: 20 April 2009


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (100)

Weakly nonlinear time-adiabatic theoryMerging of positive maps: a construction of various classes of positive maps on matrix algebrasExact and approximate solutions to the Helmholtz, Schrödinger and wave equation in \(\mathbf{R}^3\) with radial dataEigenvalues of Schrödinger operators with definite and indefinite weightsSpectral splitting method for nonlinear Schrödinger equations with quadratic potentialEigenfunction expansions for the Schrödinger equation with an inverse-square potentialTrace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap BackgroundsLocal inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifoldsReduction by symmetries in singular quantum-mechanical problems: General scheme and application to Aharonov-Bohm modelGeneralized Continuous Frames for OperatorsLocal inverse scattering at a fixed energy for radial Schrödinger operators and localization of the Regge polesSolving eigenvalue PDEs of metastable diffusion processes using artificial neural networksSpectral enclosures for non-self-adjoint extensions of symmetric operatorsSpectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scatteringFrom short-range to contact interactions in two-dimensional many-body quantum systemsSolving Inverse Sturm-Liouville Problems with Transmission Conditions on Two Disjoint IntervalsWeyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolationCoupling constant dependence for the Schrödinger equation with an inverse-square potentialNonscattering solutions and blowup at infinity for the critical wave equationUniform existence of the integrated density of states on metric Cayley graphsSpectral bounds for singular indefinite Sturm-Liouville operators with 𝐿¹-potentialsOn the virtual levels of positively projected massless Coulomb-Dirac operatorsWeakly regular Sturm-Liouville problems: a corrected spectral matrix methodComplex eigenvalue bounds for a Schrödinger operator on the half lineOn a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\)A proof of Price's Law on Schwarzschild black hole manifolds for all angular momentaAbstract wave equations and associated Dirac-type operatorsSpectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functionsSturm-Liouville operators with measure-valued coefficientsSensible quantum experiences: encounters with Stein's philosophy of quantum mechanicsCommutation methods for Schrödinger operators with strongly singular potentialsWeakly coupled bound state of 2-D Schrödinger operator with potential-measureAbsence of positive eigenvalues of magnetic Schrödinger operatorsInverse uniqueness results for Schrödinger operators using de Branges theorySingular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operatorsRofe-Beketov's formula on time scalesHydrogen atom in space with a compactified extra dimension and potential defined by Gauss' lawOn the Klein-Gordon equation near a de Sitter braneAsymptotic behavior of massless Dirac waves in Schwarzschild geometryOn generalized Schrödinger semigroupsOn the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operatorsThe transformation operator for Schrödinger operators on almost periodic infinite-gap backgroundsTime and quantum theory: a history and a prospectusSkew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problemsCarleman estimates for the Schrödinger operator and applications to unique continuationSchrödinger operators with slowly decaying Wigner-von Neumann type potentialsLocalization criteria for Anderson models on locally finite graphsOn the problem of electromagnetic-field quantizationUniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditionsLimit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circleOn the connection between the Hilger and Radon-Nikodym derivativesQuantum forced oscillator via Wigner transformSemiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentialsUniversality limits of a reproducing kernel for a half-line Schrödinger operator and clock behavior of eigenvaluesWeighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic fieldLieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in \(\mathbb{R}^d\)Spin-boson type models analyzed using symmetriesExistence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivativeDispersive estimate for the 1D Schrödinger equation with a steplike potentialOne-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type setsOn Fourier transforms of radial functions and distributionsSpectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbationsSturm–Liouville operators on time scalesSpectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentialsPositive solutions of periodic boundary value problems for second-order differential equations with the nonlinearity dependent on the derivativeSingular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problemsSemigroups for one-dimensional Schrödinger operators with multiplicative Gaussian noiseSolving the operator equation \(AX-XB = C\) with closed \(A\) and \(B\)SINGULAR SCHRÖDINGER OPERATORS IN ONE DIMENSIONInverse scattering at fixed energy for radial magnetic Schrödinger operators with obstacle in dimension twoErgodic Schrödinger operators in the infinite measure settingGreen's function approach for quantum graphs: an overviewReconstruction of the impedance Schrödinger equation from the modulus of the reflection coefficientsOrbital stability via the energy-momentum method: the case of higher dimensional symmetry groupsNew bounds on the maximum ionization of atomsNumerical solution of singular ODE eigenvalue problems in electronic structure computationsSpectrum of the complex Laplacian on product domainsA variational framework for the strain-smoothed element methodRelative oscillation theory for Dirac operatorsOn an integral formula for Fredholm determinants related to pairs of spectral projectionsMixed data in inverse spectral problems for the Schrödinger operatorsLinear operators associated with differential and difference systems: what is different?The fixed angle scattering problem with a first-order perturbationInverse problem for Sturm–Liouville differential operators with finite number of constant delaysRemarks on the uncertainty relationsOversampling and undersampling in de Branges spaces arising from regular Schrödinger operatorsTowards quantum computing based community detectionSuperfluids in polymer quantum mechanicsOn the exponential time-decay for the one-dimensional wave equation with variable coefficientsUniqueness results for one-dimensional Schrödinger operators with purely discrete spectraSine-Gordon on a wormholeDisordered quantum walks in one lattice dimensionExtensions of dissipative operators with closable imaginary partWell balanced finite volume schemes for shallow water equations on manifoldsOn fluctuations and localization length for the Anderson model on a stripOptimal bounds on the fundamental spectral gap with single-well potentialsThe Hartree limit of Born's ensemble for the ground state of a bosonic atom or ionSoliton dynamics for fractional Schrödinger equationsThe magnetic Laplacian in shrinking tubular neighborhoods of hypersurfacesAbsolutely continuous edge spectrum of Hall insulators on the lattice




This page was built for publication: