Results 11 to 20 of about 1,361,395 (332)
A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials [PDF]
, 2017 We consider semi-infinite Jacobi matrices corresponding to a point interaction for the discrete Schrodinger operator. Our goal is to find explicit expressions for the spectral measure, the resolvent, and other spectral characteristics of such Jacobi ...
D. Yafaev
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Sobolev spaces adapted to the Schrödinger operator with inverse-square potential [PDF]
, 2015 We study the $$L^p$$Lp-theory for the Schrödinger operator $$\mathcal L_a$$La with inverse-square potential $$a|x|^{-2}$$a|x|-2. Our main result describes when $$L^p$$Lp-based Sobolev spaces defined in terms of the operator $$(\mathcal L_a)^{s/2}$$(La)s ...
R. Killip +4 more
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The heat kernel of a Schrödinger operator with inverse square potential [PDF]
, 2016 We consider the Schrödinger operator H=−Δ+V(|x|) with radial potential V which may have singularity at 0 and a quadratic decay at infinity. First, we study the structure of positive harmonic functions of H and give their precise behavior.
Kazuhiro Ishige +2 more
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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
doaj +1 more source
Completely Integrable Systems Associated with Classical Root Systems [PDF]
, 2007 We study integrals of completely integrable quantum systems associated with classical root systems. We review integrals of the systems invariant under the corresponding Weyl group and as their limits we construct enough integrals of the non-invariant ...
A Schrödinger Operator, Toshio Oshima
core +5 more sources
Dispersive estimates for the Schrödinger operator on step-2 stratified Lie groups [PDF]
, 2014 The present paper is dedicated to the proof of dispersive estimates on stratified Lie groups of step 2, for the linear Schrodinger equation involving a sublaplacian.
H. Bahouri, C. Kammerer, I. Gallagher
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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 ...
openaire +3 more sources
Integrable dispersive chains and energy dependent Schrödinger operator [PDF]
, 2014 In this paper we consider integrable dispersive chains associated with the so-called ‘energy dependent’ Schrödinger operator. In a general case multi-component reductions of these dispersive chains are new integrable systems, which are characterized by ...
M. Pavlov
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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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