Results 1 to 10 of about 38,126 (139)
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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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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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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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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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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Journal of Inequalities and Applications, 2016 By applying some Schrödinger-type inequalities developed by Huang (Int. J. Math. 27(2):1650009, 2016), we are concerned with stabilization of discrete linear systems associated with the Schrödinger operator.
Zongcai Jiang
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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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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.
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Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The Schrödinger operator L = -∆ + q ( x ) , x ∈ Rn, is one of the main operators of modern quantum mechanics and theoretical physics. It is known that many fundamental results have been obtained for the Schrödinger operator L .
M.B. Muratbekov, M.M. Muratbekov
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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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