Zobrazeno 1 - 10
of 276
pro vyhledávání: '"Lotoreichik, Vladimir"'
We study the magnetic Laplacian in a two-dimensional exterior domain with Neumann boundary condition and uniform magnetic field. For the exterior of the disk we establish accurate asymptotics of the low-lying eigenvalues in the weak magnetic field li
Externí odkaz:
http://arxiv.org/abs/2405.18154
Autor:
Lotoreichik, Vladimir
We consider the magnetic Laplacian with the homogeneous magnetic field in two and three dimensions. We prove that the $(k+1)$-th magnetic Neumann eigenvalue of a bounded convex planar domain is not larger than its $k$-th magnetic Dirichlet eigenvalue
Externí odkaz:
http://arxiv.org/abs/2405.12077
We address the homogenization of the two-dimensional Dirac operator with position-dependent mass. The mass is piecewise constant and supported on small pairwise disjoint inclusions evenly distributed along an $\varepsilon$-periodic square lattice. Un
Externí odkaz:
http://arxiv.org/abs/2405.09949
Autor:
Kachmar, Ayman, Lotoreichik, Vladimir
We obtain an upper bound on the lowest magnetic Neumann eigenvalue of a bounded, convex, smooth, planar domain with moderate intensity of the homogeneous magnetic field. This bound is given as a product of a purely geometric factor expressed in terms
Externí odkaz:
http://arxiv.org/abs/2312.06161
We consider the Laplace operator in the exterior of a compact set in the plane, subject to Robin boundary conditions. If the boundary coupling is sufficiently negative, there are at least two discrete eigenvalues below the essential spectrum. We stat
Externí odkaz:
http://arxiv.org/abs/2307.14286
We investigate the spectrum of the Dirac operator with infinite mass boundary conditions posed in a tubular neighborhood of a smooth compact hypersurface in $\mathbb{R}^n$ without boundary. We prove that when the tubular neighborhood shrinks to the h
Externí odkaz:
http://arxiv.org/abs/2307.09033
We consider the one-parametric family of self-adjoint realizations of the two-dimensional massive Dirac operator with a Lorentz scalar $\delta$-shell interaction of strength $\tau\in\mathbb{R}\setminus\{-2,0,2\}$ supported on a broken line of opening
Externí odkaz:
http://arxiv.org/abs/2306.04976
Autor:
Lotoreichik, Vladimir
We prove that the $(k+d)$-th Neumann eigenvalue of the biharmonic operator on a bounded connected $d$-dimensional $(d\ge2)$ Lipschitz domain is not larger than its $k$-th Dirichlet eigenvalue for all $k\in\mathbb{N}$. For a special class of domains w
Externí odkaz:
http://arxiv.org/abs/2305.18075
In this paper we consider the two-dimensional Schr\"odinger operator with an attractive potential which is a multiple of the characteristic function of an unbounded strip-shaped region, whose thickness is varying and is determined by the function $\m
Externí odkaz:
http://arxiv.org/abs/2211.01989