Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Tater, Milos"'
Publikováno v:
In Journal of Approximation Theory January 2025 305
Autor:
Exner, Pavel, Tater, Milos
We demonstrate that a quantum graph exhibits a $\mathcal{PT}$-symmetry provided the coefficients in the condition describing the wave function matching at the vertices are circulant matrices; this symmetry is nontrivial if they are not invariant with
Externí odkaz:
http://arxiv.org/abs/2108.04708
Publikováno v:
Ann. Phys. 443 (2022), 168992
We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly non-invariant with
Externí odkaz:
http://arxiv.org/abs/2012.14344
Autor:
Exner, Pavel, Tater, Milos
We investigate properties of a particle confined to a hard-wall spiral-shaped region. As a case study we analyze in detail the Archimedean spiral for which the spectrum above the continuum threshold is absolutely continuous away from the thresholds.
Externí odkaz:
http://arxiv.org/abs/2009.02730
We consider a family of Schr\"odinger operators supported by a periodic chain of loops connected either tightly or loosely through connecting links of the length $\ell>0$ with the vertex coupling which is non-invariant with respect to the time revers
Externí odkaz:
http://arxiv.org/abs/1912.03667
We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials satisfying linear recurrence relations of finite length; the classical
Externí odkaz:
http://arxiv.org/abs/1807.01558
Publikováno v:
J. Phys. A: Math. Theor. 51 (2018) 285301
The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the $\delta$ type and a coupling introduced recently by two of the authors which exhibits a preferred orientation. Describing the interpolation fam
Externí odkaz:
http://arxiv.org/abs/1804.01414
Publikováno v:
In Annals of Physics August 2022 443
Autor:
Exner, Pavel, Tater, Milos
Publikováno v:
Phys. Lett. A (2018) 382 (2018), 283-287
Motivated by a recent application of quantum graphs to model the anomalous Hall effect we discuss quantum graphs the vertices of which exhibit a preferred orientation. We describe an example of such a vertex coupling and analyze the corresponding ban
Externí odkaz:
http://arxiv.org/abs/1710.02664
Autor:
Shapiro, Boris, Tater, Milos
Below we study theoretically and numerically the asymptotics of the algebraic part of the spectrum for the quasi-exactly solvable sextic potential, its level crossing points, and its monodromy in the complex plane of its parameter. We also discuss co
Externí odkaz:
http://arxiv.org/abs/1611.06313