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Energy splitting in dynamical tunneling - MaRDI portal

Energy splitting in dynamical tunneling (Q499406)

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scientific article; zbMATH DE number 6487430

Language	Label	Description	Also known as
English	Energy splitting in dynamical tunneling	scientific article; zbMATH DE number 6487430

Statements

scholarly article

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Energy splitting in dynamical tunneling (English)

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Theoretical and Mathematical Physics

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publication date

30 September 2015

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zbMATH Keywords

dynamical tunneling

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tunneling splitting

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Schrödinger equation

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semiclassical approximation

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over-barrier reflection

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s11232-014-0222-6

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Quantum tunneling in complex systems. The semiclassical approach.

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Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation \(hu_ t=h^ 2\Delta u/2-V(x)u\)

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Unstable closed trajectories, librations and splitting of the lowest eigenvalues in quantum double well problem

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Tunnel splitting of the spectrum and bilocalization of eigenfunctions in an asymmetric double well

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Multiple wells in the semi-classical limit I

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Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells

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The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. I

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Splitting of lower energy levels in a quantum double well in a magnetic field and tunneling of wave packets in nanowires

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Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field

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Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators

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``Momentum'' tunneling between tori and the splitting of eigenvalues of the Laplace-Beltrami operator on Liouville surfaces

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The asymptotics of the gap in the Mathieu equation

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Hill's potentials in weighted Sobolev spaces and their spectral gaps

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The inverse problem for periodic potentials

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Estimates on the Stability Intervals for Hill's Equation

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Critique of the Heitler-London Method of Calculating Spin Couplings at Large Distances

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WKB (Liouville-Green) analysis of second order difference equations and applications

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11232-014-0222-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:499406

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