A calculus for magnetic pseudodifferential super operators
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Publication:5883861
DOI10.1063/5.0090191OpenAlexW4307240302MaRDI QIDQ5883861
Publication date: 17 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.11487
Pseudodifferential operators as generalizations of partial differential operators (35S05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)
Cites Work
- Semiclassics for particles with spin via a Wigner-Weyl-type calculus
- Magnetic Fourier integral operators
- Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras
- Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework
- Autour de l'approximation semi-classique. (Around semiclassical approximation)
- Notes on non-commutative integration
- Pseudo-differential operators of multiple symbol and the Calderon- Vaillancourt theorem
- On the generators of quantum dynamical semigroups
- Characterization of pseudodifferential operator and application
- A kinetic theory for quantum transport in aperiodic media
- Effective dynamics for Bloch electrons: Peierls substitution and beyond
- Theory of operator algebras. II
- Random operators and crossed products
- Singular traces. Volume 1. Theory
- Semi- and non-relativistic limit of the Dirac dynamics with external fields
- Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices
- Magnetic pseudodifferential operators
- Fourier integral operators. I
- Fourier integral operators. II
- Linear response theory for magnetic Schrödinger operators in disordered media
- Resonance phenomena in the interaction of a many-photon wave packet and a qubit
- APPLICATIONS OF MAGNETIC ΨDO TECHNIQUES TO SAPT
- Commutator Criteria for Magnetic Pseudodifferential Operators
- Harmonic Analysis in Phase Space. (AM-122)
- The weyl calculus of pseudo-differential operators
- Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding centre motion
- The noncommutative geometry of the quantum Hall effect
- On the Quantum Correction For Thermodynamic Equilibrium
- A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames
- The magnetic Weyl calculus
- Magnetic twisted actions on general abelian $C^*$-algebras
- Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals
- Pseudodifferential calculus on noncommutative tori, II. Main properties
- On the continuity of spectra for families of magnetic pseudodifferential operators
- Two-parameter asymptotics in magnetic Weyl calculus
- Linear Response Theory
- The time-dependent Born-Oppenheimer approximation
- Linear Response Theory for Random Schr\"odinger Operators and Noncommutative Integration
- An introduction to semiclassical and microlocal analysis
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