Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics
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Publication:3529700
DOI10.1063/1.2735816zbMath1144.81372arXivquant-ph/0604075OpenAlexW3106492032WikidataQ56746510 ScholiaQ56746510MaRDI QIDQ3529700
Mikhail I. Krivoruchenko, Amand Faessler
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0604075
Applications of operator theory in the physical sciences (47N50) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)
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Cites Work
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- Gauge-invariant counterparts and quantization of systems under holonomic constraints
- Poincaré invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach
- Deformation theory and quantization. II: Physical applications
- Semiclassical trajectory-coherent approximation in quantum mechanics. I: High-order corrections to multidimensional time-dependent equations of Schrödinger type
- Moyal quantum mechanics: The semiclassical Heisenberg dynamics
- Connes' tangent groupoid and strict quantization
- The Moyal-Lie theory of phase space quantum mechanics
- Generalized Hamiltonian dynamics
- UNDERLYING GAUGE SYMMETRIES OF SECOND-CLASS CONSTRAINTS SYSTEMS
- Asymptotic and geometric quantization
- Wigner trajectory characteristics in phase space and field theory
- On dynamical properties in a Moyal quantization
- Heisenberg evolution WKB and symplectic area phases
- Quantum magnetic algebra and magnetic curvature
- On the Quantum Correction For Thermodynamic Equilibrium
- The Quantum Theory of Motion
- Weyl Transform in Nonrelativistic Quantum Dynamics
- Canonical Operators for the Simple Harmonic Oscillator
- Cotangent bundle quantization: entangling of metric and magnetic field
- On the principles of elementary quantum mechanics
- Canonical transformations in quantum mechanics
- Quantum surfaces, special functions, and the tunneling effect
