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Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields
decomposition of the periodic Hamiltonian H into a direct integral over the dual space manifold in terms of the propagator associated with the periodic Hamiltonian HGiven an invariant gauge potential and a per...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Inverse problems for locally perturbed lattices – Discrete Hamiltonian and quantum graph
We consider the inverse scattering problems for two types of Schrödinger operators on locally perturbed periodic lattices. For the discrete Hamiltonian, the knowledge of the S-matrix for all energies determines the graph structure a...
Applied mathematics
- 2024 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems
We provide an extension of the Poincaré–Birkhoff Theorem for systems coupling linear components with twisting components. Applications are given both to weakly coupled Hamiltonian systems where, e.g., a superlinear or sublinear behaviour of ...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Vznik vlastních hodnot jako následek lokální perturbace
We will determine the spectrum of the Hamiltonian of an infinite periodic quantum graph formed by joined circles with delta-couplings with a general real parameter in the points of contact. We will show that the Hamiltonian...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Propagators Associated to Periodic Hamiltonians
We consider an invariant quantum Hamiltonian $H=-Delta_{LB}+V$ in the $L^{2}$ space based on a Riemannian manifold $tilde{M}$ with a discrete symmetry group$ butwhich is determined by quasi-periodic boundary conditions. We give a br...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Gaps in the spectrum of a periodic quantum graph with periodically distributed ?'-type interactions
We consider a family of quantum graphs {(?, A_?)}_?0, where ? is a Z^n-periodic metric graph and the periodic Hamiltonian A_? is defined by the operation ??^?1 d^2/dx^2 on the edges of ? and either ?'-type conditions or the...
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements
The paper studies the construction of the Hamiltonian for circuits built from the (alpha,beta) elements of Chua’s periodic table. It starts from the Lagrange function elements located on a common sigma-diagonal of the table. We show...
Condensed matter physics (including formerly solid state physics, supercond.)
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Floquet Hamiltonians with pure point spectrum
We consider Floquet Hamiltonians K for periodically perturbed quantum systems. The spectrum of the unperturbed part is simple discrete and obeying a gap condition, the perturbation is strongly differentiable in time. We show that pr...
Pure mathematics
- 1996 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Solvable PT-symmetric Hamiltonians.
Within the so-called PT-symmetric version of quantum mechanics, a brief review of exactly solvable models is given. The distinction is made between curved and straight coordinate lines, between their unbounded (aperiodic) and bounded (periodic
BE - Teoretická fyzika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Periodic square-well potential and spontaneous breakdown of PT-symmetry
A particle moving on a circle in a purely imaginary one-step potential is studied in both the exact and broken PT-symmetric regime.
BE - Teoretická fyzika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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