Zobrazeno 1 - 10
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pro vyhledávání: '"Exner, A A"'
Autor:
Exner, Markus, Srikumar, Rohan, Blättner, Richard, Eiles, Matthew T., Schmelcher, Peter, Ott, Herwig
We perform three-photon photoassociation to obtain high resolution spectra of $^{87}$Rb trilobite dimers for the principal quantum numbers $n = 22,24,25,26$, and 27. The large binding energy of the molecules in combination with a relative spectroscop
Externí odkaz:
http://arxiv.org/abs/2412.19710
Autor:
Exner, Pavel, Rohleder, Jonathan
We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition of a fixed total edge length, the configurations for which the ground
Externí odkaz:
http://arxiv.org/abs/2410.21820
Autor:
Exner, Pavel, Spitzkopf, David
We consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invariant in one dimension. We derive several conditions on such a perturba
Externí odkaz:
http://arxiv.org/abs/2410.16036
We reconsider studies of Toeplitz operators on function spaces (the weighted Bergman space, the generalized derivative Hardy space) and the H-Toeplitz operators on the Bergman space. Past studies have considered the presence or absence of hyponormali
Externí odkaz:
http://arxiv.org/abs/2409.12395
Autor:
Exner, Pavel, Pekař, Jan
We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it asymptotically decouples edges at even degree vertices; a comparison is made to the case when
Externí odkaz:
http://arxiv.org/abs/2409.03538
Autor:
Ando, K., Blåsten, E., Exner, P., Isozaki, H., Korotyaev, E., Lassas, M., Lu, J., Morioka, H.
We solve inverse problems from the D-N map for the quantum graph on a finite domain in a square lattice and that on a hexagonal lattice, as well as inverse scattering problems from the S-matrix for a locally perturbed square lattice and a hexagonal l
Externí odkaz:
http://arxiv.org/abs/2409.02605
Autor:
Exner, Pavel, Kovarik, Hynek
In this note we consider achieving the largest principle eigenvalue of a Robin Laplacian on a bounded domain $\Omega$ by optimizing the Robin parameter function under an integral constraint. The main novelty of our approach lies in establishing a clo
Externí odkaz:
http://arxiv.org/abs/2408.11636
In the study of the geometrically regular weighted shifts (GRWS) -- see [5] -- signed power representing measures (which we call Berger-type charges) played an important role. Motivated by their utility in that context, we establish a general theory
Externí odkaz:
http://arxiv.org/abs/2405.15000
Autor:
Exner, Pavel, Pekař, Jan
We analyze band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the $\delta$ coupling and the one determined
Externí odkaz:
http://arxiv.org/abs/2403.09457
Autor:
Baradaran, Marzieh, Exner, Pavel
We analyze the spectrum of a periodic quantum graph of the Cairo lattice form. The used vertex coupling violates the time reversal invariance and its high-energy behavior depends on the vertex degree parity; in the considered example both odd and eve
Externí odkaz:
http://arxiv.org/abs/2312.13827