Continuity of Spectra in Rieffel’s Pseudodifferential Calculus
DOI10.1007/978-3-0348-0414-1_2zbMath1302.35487OpenAlexW205669516MaRDI QIDQ2841829
Marius Măntoiu, Fabian Belmonte
Publication date: 30 July 2013
Published in: Spectral Analysis of Quantum Hamiltonians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0414-1_2
spectrumdynamical systempseudodifferential operator\(C^\ast\)-algebracontinuous fieldRieffel quantization
Pseudodifferential operators as generalizations of partial differential operators (35S05) Noncommutative dynamical systems (46L55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operators in (C^*)- or von Neumann algebras (47C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Covariant fields of \(C^{*}\)-algebras under Rieffel deformation
- Rieffel deformation via crossed products
- Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework
- Stability of energy gaps under variations of the magnetic field
- Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
- Continuity properties of the electronic spectrum of 1D quasicrystals
- Lipschitz continuity of gap boundaries for Hofstadter-like spectra
- Twisted crossed products of \(C^*\)-algebras. II
- Crossed products of \(C^\ast\)-algebras and spectral analysis of quantum Hamiltonians
- Topological representation of \(C^ *\)-algebras
- Rieffel Deformation and Twisted Crossed Products
- PARAMETRIZED STRICT DEFORMATION QUANTIZATION OF C*-BUNDLES AND HILBERT C*-MODULES
- Noncommutative principal torus bundles via parametrised strict deformation quantization
- Stability of gaps for periodic potentials under variation of a magnetic field
- Twisted crossed products of C*-algebras
- Harmonic Analysis in Phase Space. (AM-122)
- Opérateurs différentiels magnétiques : stabilité des trous dans le spectre, invariance du spectre essentiel et applications
- Deformation quantization for actions of 𝑅^{𝑑}
- C* -algebras, dynamical systems at infinity and the essential spectrum of generalized Schrödinger operations
- On the essential spectrum of phase-space anisotropic pseudodifferential operators
- On the continuity of spectra for families of magnetic pseudodifferential operators
- C^*-bundles and C_0(X)-algebras
This page was built for publication: Continuity of Spectra in Rieffel’s Pseudodifferential Calculus
