Results 11 to 20 of about 38,371 (141)
Renormalization constants of local operators within the Schrödinger functional scheme [PDF]
Nuclear Physics B - Proceedings Supplements, 2000 Presented at LATTICE99, 3 ...
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Dimensional Hausdorff properties of singular continuous spectra [PDF]
, 1995 We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of the corresponding Schrödinger equation.
Jitomirskaya, Svetlana Ya., Last, Yoram
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Sharp Strichartz estimates for some variable coefficient Schrödinger operators on R×T2
Mathematics in Engineering, 2022 In the first part of the paper we continue the study of solutions to Schrödinger equations with a time singularity in the dispersive relation and in the periodic setting.
Serena Federico, Gigliola Staffilani
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The quantum Arnold transformation [PDF]
, 2010 By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in
Aldaya, Victor +3 more
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A Nonlinear Schrödinger Equation Resonating at an Essential Spectrum
Advances in Mathematical Physics, 2016 We consider the nonlinear Schrödinger equation -Δu+f(u)=V(x)u in RN. The potential function V satisfies that the essential spectrum of the Schrödinger operator -Δ-V is [0,+∞) and this Schrödinger operator has infinitely many negative eigenvalues ...
Shaowei Chen, Haijun Zhou
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A theorem on localized self-adjointness of Shrödinger operators with LLOC1-potentials
International Journal of Mathematics and Mathematical Sciences, 1982 We prove a result which concludes the self-adjointness of a Schrödinger operator from the self-adjointness of the associated localized Schrödinger operators having LLOC1-Potentials.
Hans L. Cycon
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Boundary Value Problems, 2020 In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu +3 more
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Spectral properties of periodic systems cut at an angle
Comptes Rendus. Mathématique, 2021 We consider a semi-periodic two-dimensional Schrödinger operator which is cut at an angle. When the cut is commensurate with the periodic lattice, the spectrum of the operator has the band-gap Bloch structure.
Gontier, David
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On a fourth order nonlinear Helmholtz equation [PDF]
, 2018 In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $\Delta^2 u -\beta \Delta u + \alpha u= \Gamma|u|^{p-2} u$ in $\mathbb R^N$ for positive, bounded and $\mathbb Z^N$-periodic functions $\Gamma$.
Abramowitz M. +11 more
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Riesz Transform Characterization of Weighted Hardy Spaces Associated with Schrödinger Operators
Journal of Function Spaces, 2016 We characterize the weighted local Hardy spaces hρ1(ω) related to the critical radius function ρ and weights ω∈A1ρ,∞(Rn) by localized Riesz transforms R^j; in addition, we give a characterization of weighted Hardy spaces HL1(ω) via Riesz transforms ...
Hua Zhu
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