Tunnelling between tori in phase space

DOI10.1016/0167-2789(86)90009-6zbMath0602.58024OpenAlexW2076189759MaRDI QIDQ1081919

Michael H. F. Wilkinson

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90009-6

zbMATH Keywords

tunnellingEinstein-Brillouin-Keller quantization schemepair of quantum states

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (10)

The double-well splitting of the low energy levels for the Schrödinger operator of discrete φ4-models on tori ⋮ Parametric variation of resonances for regular and chaotic scattering ⋮ Resonance tunneling in double-well billiards with a point-like scatterer ⋮ Eigenfunction decay estimates in the quantum integrable case ⋮ Estimations de l'effet tunnel pour le double puits. II : états hautement excités ⋮ A monodromy matrix for the almost Mathieu equation with small coupling constant ⋮ On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential \(v(z) = e^{-2\pi iz}\) ⋮ Complex semiclassical description of scattering problem systems with 1.5 degrees of freedom ⋮ Resonance-assisted tunneling ⋮ Effects of resonance states in barrier region on non-exponential decay of wave-packets scattered by rounded-rectangular potentials

Cites Work

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• Geometry of two dimensional tori in phase space: Projections, sections and the Wigner function
• Diabolical points in the spectra of triangles
• Critique of the Heitler-London Method of Calculating Spin Couplings at Large Distances
• Regular and irregular semiclassical wavefunctions

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