Aharonov-Bohm effect on the Poincaré disk
From MaRDI portal
Publication:3529705
DOI10.1063/1.2738751zbMath1144.81379arXivmath-ph/0702066OpenAlexW3106430325MaRDI QIDQ3529705
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0702066
Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (6)
Microstate counting of \(\mathrm{AdS}_{4}\) hyperbolic black hole entropy via the topologically twisted index ⋮ Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields ⋮ A Quantum Dot with Impurity in the Lobachevsky Plane ⋮ Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect ⋮ On Painlevé VI transcendents related to the Dirac operator on the hyperbolic disk ⋮ Quantum motion in superposition of Aharonov–Bohm with some additional electromagnetic fields
Cites Work
- Tau functions for the Dirac operator in the Euclidean plane
- The path integral for the Kepler problem on the pseudosphere
- Path integration on the hyperbolic plane with a magnetic field
- Induced quantum numbers of a magnetic vortex at non-zero temperature
- On the Landau levels on the hyperbolic plane
- Scattering on the hyperbolic plane in the Aharonov-Bohm gauge field
- Tau functions for the Dirac operator on the Poincaré disk
- On the Aharonov-Bohm Hamiltonian
- Two-point correlation functions of scaling fields in the Dirac theory on the Poincaré disk
- Gauge-periodic point perturbations on the Lobachevsky plane
- On the path integral treatment for an Aharonov-Bohm field on the hyperbolic plane.
- Hamiltonian self-adjoint extensions for (2+1)-dimensional Dirac particles
- Path integral for relativistic Aharonov–Bohm–Coulomb system on the pseudo-sphere
- Ising field theory on a pseudosphere
- Hyperbolic geometrical optics: Hyperbolic glass
- Aharonov–Bohm effect with δ-type interaction
- Form factors of Ising spin and disorder fields on the Poincaré disc
- Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field
- Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane
- Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I
This page was built for publication: Aharonov-Bohm effect on the Poincaré disk
