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10 papers · 2 filters
On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals
Sebastien Bertrand, Libor Šnobl
The aim of the present article is to construct quadratically integrable three dimensional systems in non-vanishing magnetic fields which possess so-called non-subgroup type integra…
The Lieb-Thirring inequality revisited
Rupert L. Frank, Dirk Hundertmark, Michal Jex +1
We provide new estimates on the best constant of the Lieb-Thirring inequality for the sum of the negative eigenvalues of Schrödinger operators, which significantly improve the so f…
Spectral analysis of sheared nanoribbons
Philippe Briet, Hamza Abdou Soimadou, David Krejcirik
We investigate the spectrum of the Dirichlet Laplacian in a unbounded strip subject to a new deformation of "shearing": the strip is built by translating a segment oriented in a co…
Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions
Pavel Exner
This paper summarizes the contents of a plenary talk at the Pan African Congress of Mathematics held in Rabat in July 2017. We provide a survey of recent results on spectral proper…
Structural equations of supermanifolds immersed in the superspace with a prescribed curvature
Sébastien Bertrand, A. Michel Grundland
The aim of this paper is to construct the structural equations of supermanifolds immersed in Euclidean, hyperbolic and spherical superspaces parametrised with two bosonic and two f…
A phase-field approach to Eulerian interfacial energies
Diego Grandi, Martin Kruzik, Edoardo Mainini +1
We analyze a phase-field approximation of a sharp-interface model for two- phase materials proposed by M. Silhavy [32, 33]. The distinguishing trait of the model resides in the fac…