The 2D Kramers-Dirac oscillator

DOI10.1016/j.physleta.2019.01.062zbMath1470.81030OpenAlexW2912957230WikidataQ128482441 ScholiaQ128482441MaRDI QIDQ820575

Toshihiro Iwai, Boris I. Zhilinskiĭ

Publication date: 27 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2019.01.062

zbMATH Keywords

edge statesDirac oscillatorquantum spin Hall effectenergy band rearrangement

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Electro- and magnetostatics (78A30)

Related Items (3)

A bulk-edge correspondence between the second Chern number and the spectral flow ⋮ Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell ⋮ A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation

Cites Work

• Band rearrangement through the 2D-Dirac equation: comparing the APS and the chiral bag boundary conditions
• Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models
• Dynamics of a Dirac oscillator coupled to an external field: a new class of solvable problems
• Recurrence relations for radial wavefunctions for theNth-dimensional oscillators and hydrogenlike atoms
• Algebraic properties of the Dirac oscillator
• Symmetry Lie algebra of the Dirac oscillator
• Unnamed Item

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