Wigner's function and tunneling

DOI10.1016/0003-4916(90)90370-4zbMath0727.34051OpenAlexW2017387763MaRDI QIDQ803371

N. L. Balazs, André Voros

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0003-4916(90)90370-4

zbMATH Keywords

potentialtunnelingnon-localinterference phenomenon of WKB wave functionsWigner's functions

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (14)

Quantum damped oscillator. II: Bateman's Hamiltonian vs. 2D parabolic potential barrier ⋮ A PSEUDO-UNITARY ENSEMBLE OF RANDOM MATRICES, PT-SYMMETRY AND THE RIEMANN HYPOTHESIS ⋮ Quantum mechanics of damped systems. II. Damping and parabolic potential barrier ⋮ Rigged Hilbert spaces and time asymmetry: The case of the upside-down simple harmonic oscillator ⋮ Quantum forced oscillator via Wigner transform ⋮ Tunneling of an energy eigenstate through a parabolic barrier viewed from Wigner phase space ⋮ On the quantization of linear maps ⋮ Spectral properties of the squeeze operator ⋮ Supersymmetric quantum mechanics of scattering ⋮ Vortex lattices in quantum mechanics ⋮ The response field and the saddle points of quantum mechanical path integrals ⋮ Physics of the inverted harmonic oscillator: From the lowest Landau level to event horizons ⋮ Entropy burst from parabolic potentials ⋮ Quantum to classical transition in the Hořava-Lifshitz quantum cosmology

Cites Work

• Effect of a Gravitational Field, Due to a Rotating Body, on the Plane of Polarization of an Electromagnetic Wave
• Semi-classical mechanics in phase space: A study of Wigner’s function
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