Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry
From MaRDI portal
Publication:3544689
DOI10.1063/1.2898484zbMath1153.81388arXiv0802.4235OpenAlexW2086060907WikidataQ115333526 ScholiaQ115333526MaRDI QIDQ3544689
Petra Kocábová, Pavel Šťovíček
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.4235
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of PDEs on manifolds (58J90)
Related Items (4)
The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field ⋮ On the hyperbolic Bloch transform ⋮ Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields ⋮ Path integrals in a multiply-connected configuration space (50 years after)
Cites Work
- Unnamed Item
- Unnamed Item
- Density of states in spectral geometry
- Magnetic Bloch analysis and Bochner Laplacians
- Scattering on a finite chain of vortices
- Bloch theory and quantization of magnetic systems
- Quantum mechanics of a particle with two magnetic impurities
- Semiclassical analysis for magnetic scattering by two solenoidal fields: total cross sections
- Über unitäre Darstellungen abzählbarer, diskreter Gruppen
- Noncommutative Bloch theory
- Significance of Electromagnetic Potentials in the Quantum Theory
- Non-Abelian Aharonov–Bohm effects, Feynman paths, and topology
- The propagator in the generalized Aharonov–Bohm effect
- Group C*-Algebras and the Spectrum of a Periodic Schrödinger Operator on a Manifold
- On the spectrum of periodic elliptic operators
- Shrunk loop theorem for the topology probabilities of closed Brownian (or Feynman) paths on the twice punctured plane
- Exact scattering theory for any straight reflectors in two dimensions
- Introduction to Topological Manifolds
- On the Pauli operator for the Aharonov–Bohm effect with two solenoids
- Aharonov-Bohm effect in scattering by point-like magnetic fields at large separation
This page was built for publication: Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry