Hofstadter-Toda spectral duality and quantum groups
From MaRDI portal
Publication:6582834
DOI10.1063/5.0202635zbMATH Open1543.81141MaRDI QIDQ6582834
Valerio Proietti, Xiaobing Sheng, Pasquale Marra
Publication date: 5 August 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Special quantum systems, such as solvable systems (81Q80)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Non-Hermitian Hamiltonians and similarity transformations
- Non-commutative methods for the K-theory of \(C^*\)-algebras of aperiodic patterns from cut-and-project systems
- \(C^*\)-algebras of Penrose hyperbolic tilings
- C*-algebras associated with irrational rotations
- Unitary representations of \(U_{q} (\mathfrak s\mathfrak l(2,\mathbb R))\), the modular double and the multiparticle \(q\)-deformed Toda chain
- Geometric engineering of quantum field theories
- Five-dimensional gauge theories and relativistic integrable systems
- Exact quantization conditions for the relativistic Toda lattice
- Quantum geometry of refined topological strings
- Discrete Heisenberg-Weyl group and modular group
- Groups with Spanier-Whitehead duality
- Relativistic Toda systems
- Schrödinger operators in the twenty-first century
- Hofstadter butterfly as quantum phase diagram
- Transfer matrices and tridiagonal-block Hamiltonians with periodic and scattering boundary conditions
- Hofstadter’s butterfly and Langlands duality
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Solving the Ten Martini Problem
- Modular Double of the Quantum Group S L q ( 2 , ℝ ) $$SL_{q}(2, \mathbb{R})$$
- Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
- Hofstadter’s butterfly in quantum geometry
This page was built for publication: Hofstadter-Toda spectral duality and quantum groups
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6582834)
