SELF-ADJOINT OPERATORS AFFILIATED TO C*-ALGEBRAS
From MaRDI portal
Publication:4818883
DOI10.1142/S0129055X04001984zbMath1071.46038OpenAlexW4301380542MaRDI QIDQ4818883
Mondher Damak, Vladimir Georgescu
Publication date: 24 September 2004
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x04001984
(n)-body potential quantum scattering theory (81U10) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items
A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ On the spectral analysis of quantum field Hamiltonians ⋮ On the structure of the field \(C^\ast \)-algebra of a symplectic space and spectral analysis of the operators affiliated to it ⋮ On the structure of the essential spectrum of elliptic operators on metric spaces ⋮ The resolvent algebra: A new approach to canonical quantum systems ⋮ The essential spectrum of \(N\)-body systems with asymptotically homogeneous order-zero interactions ⋮ Algebraic supersymmetry: a case study ⋮ Graded Hilbert C*-modules ⋮ On the spectral analysis of many-body systems ⋮ On characterizing the exponential \(q\)-distribution ⋮ The noncommutative geometry of the Landau Hamiltonian: metric aspects ⋮ On the essential spectrum of elliptic differential operators ⋮ Analytic functional calculus for two operators ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY ⋮ Some examples of graded \(C^*\)-algebras ⋮ Inverse-closed algebras of integral operators on locally compact groups ⋮ On a class of anisotropic asymptotically periodic Hamiltonians
Cites Work
- Unnamed Item
- Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle
- Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
- Operator theory in the \(C^*\)-algebra framework
- Crossed products of \(C^\ast\)-algebras and spectral analysis of quantum Hamiltonians
- \(N\)-body methods for a perturbed stratified media problem
- Graded C*-algebras in the N-body problem
- On the spectral theory of dispersive N-body Hamiltonians