Results 1 to 10 of about 1,361,301 (239)
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator [PDF]
Entropy, 2020 Many dimensionality and model reduction techniques rely on estimating dominant eigenfunctions of associated dynamical operators from data. Important examples include the Koopman operator and its generator, but also the Schrödinger operator.
Stefan Klus +2 more
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A theorem on localized self-adjointness of Shrödinger operators with LLOC1-potentials [PDF]
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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Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields II [PDF]
Nagoya Mathematical Journal, 1997 This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only finitely many bound states, corresponding to the discrete energy levels, in a suitable magnetic field.
Tetsuya Hattori
openaire +6 more sources
Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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On the S-matrix of Schrödinger operator with nonlocal δ-interaction [PDF]
Opuscula Mathematica, 2021 Schrödinger operators with nonlocal \(\delta\)-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is established.
Anna Główczyk, Sergiusz Kużel
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End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator
Journal of Function Spaces, 2021 Let L=−Δ+μ be the generalized Schrödinger operator on ℝd,d≥3, where μ≠0 is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions.
Yanping Chen, Wenyu Tao
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AIMS Mathematics, 2021 In this paper, we investigate the nonlinear Schrödinger-Kirchhoff equations on the whole space. By using the Morse index of the reduced Schrödinger operator, we show the existence and multiplicity of solutions for this problem with asymptotically linear ...
Yuan Shan, Baoqing Liu
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Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator [PDF]
, 2016 In this paper we prove the existence, regularity, and symmetry of a ground state for a nonlinear equation in the whole space, involving a pseudo-relativistic Schrodinger operator.
V. Ambrosio
semanticscholar +1 more source
A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs [PDF]
Journal of The American Mathematical Society, 2015 This paper concerns the vertex reinforced jump process (VRJP), the edge reinforced random walk (ERRW), and their relation to a random Schrödinger operator.
C. Sabot, Xiaolin Zeng
semanticscholar +1 more source
Journal of Function Spaces, 2023 Let L=−Δ+V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHqℝn with q>n/2.
Li Yang, Pengtao Li
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