Bloch waves and non-commutative tori of magnetic translations

DOI10.1063/5.0063174zbMath1480.81038arXiv2106.11093OpenAlexW3202956463MaRDI QIDQ5163807

Todor Popov, Tekin Dereli

Publication date: 8 November 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11093

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• Modular invariant partition functions in the quantum Hall effect
• Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman
• Morita equivalence and duality.
• Functional equations for quantum theta functions
• W_∞ AND SL_q(2) ALGEBRAS IN THE LANDAU PROBLEM AND CHERN-SIMONS THEORY ON A TORUS
• AREA-PRESERVING DIFFEOMORPHISMS, W_∞ AND ${\mathcal U}_q [{\rm sl}(2)$ IN CHERN–SIMONS THEORY AND THE QUANTUM HALL SYSTEM]
• Theta vectors and quantum theta functions
• The origin of holomorphic states in Landau levels from non-commutative geometry and a new formula for their overlaps on the torus
• Lie algebra of Diff_AT²and Bloch electrons in a constant uniform magnetic field

This page was built for publication: Bloch waves and non-commutative tori of magnetic translations