Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians
DOI10.5802/AIF.2729zbMath1253.35232arXiv1003.3149OpenAlexW3125081029MaRDI QIDQ715153
Publication date: 2 November 2012
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.3149
essential spectrumsemiclassical limitpseudodifferential operatorrandom operatornoncommutative dynamical system
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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras
- On the structure of the essential spectrum of elliptic operators on metric spaces
- Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework
- Decomposing the essential spectrum
- Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field)
- Crossed products of \(C^\ast\)-algebras and spectral analysis of quantum Hamiltonians
- Fredholm indices of band-dominated operators
- Limit operators and their applications in operator theory
- Magnetic pseudodifferential operators
- The essential spectrum of Schrödinger, Jacobi, and CMV operators
- Translation-invariant function algebras on abelian groups
- Harmonic Analysis in Phase Space. (AM-122)
- Deformation quantization for actions of 𝑅^{𝑑}
- C* -algebras, dynamical systems at infinity and the essential spectrum of generalized Schrödinger operations
- The magnetic Weyl calculus
- On the continuity of spectra for families of magnetic pseudodifferential operators
- SPECTRAL INVARIANCE FOR CERTAIN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS
- ABELIAN C$^*$-ALGEBRAS WHICH ARE INDEPENDENT WITH RESPECT TO A FILTER
- LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
This page was built for publication: Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians
