Semiclassical expansion of Wigner functions

DOI10.1063/1.2200143zbMath1111.81067OpenAlexW2065278484MaRDI QIDQ3441786

Mario Pulvirenti

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2200143

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (7)

Quantum forced oscillator via Wigner transform ⋮ Wigner measures supported on weak KAM tori ⋮ Strong semiclassical approximation of Wigner functions for the Hartree dynamics ⋮ Spin Kinetic Theory—Quantum Kinetic Theory in Extended Phase Space ⋮ STRONG AND WEAK SEMICLASSICAL LIMIT FOR SOME ROUGH HAMILTONIANS ⋮ Mather measures associated with a class of Bloch wave functions ⋮ Classical limit for semirelativistic Hartree systems

Cites Work

• On Wigner measures
• Semiclassical Wigner Function and Geometrical Optics
• On the propagation of semiclassical Wigner functions
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D

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