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

DOI10.1007/s11232-013-0051-zzbMath1286.81057OpenAlexW1998745857MaRDI QIDQ2449483

R. V. Nekrasov, Jochen Brüning, S. Yu. Dobrokhotov

Publication date: 8 May 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0051-z

zbMATH Keywords

Schrödinger operatortunnelinghomogeneous magnetic fieldwave packetdouble quantum wiredouble-well-type potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (4)

Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers ⋮ Instantons via breaking geometric symmetry in hyperbolic traps ⋮ Energy splitting in dynamical tunneling ⋮ Lower Bound on Quantum Tunneling for Strong Magnetic Fields

Cites Work

• Asymptotic behavior of the Maupertuis action on a libration and tunneling in a double well
• Unstable closed trajectories, librations and splitting of the lowest eigenvalues in quantum double well problem
• The principle of least action and periodic solutions in problems of classical mechanics
• Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential

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