PT-symmetry in one-dimensional quantum periodic potentials

DOI10.1016/J.PHYSLETA.2003.08.024zbMath1056.81603OpenAlexW2031053132MaRDI QIDQ1409122

José M. Cerveró

Publication date: 5 October 2003

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.08.024

zbMATH Keywords

complex quantum wirefull band spectrumultralocal couplings

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (9)

Spectra, eigenstates and transport properties of a PT -symmetric ring ⋮ Soliton formation and dynamics in the quintic nonlinear media with \(\mathcal{PT}\)-invariant harmonic-Gaussian potential ⋮ On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential ⋮ Handedness of complex PT-symmetric potential barriers ⋮ Analytically solvable PT-invariant periodic potentials ⋮ Bound state solutions of the Schrödinger equation for a \(\mathcal{PT}\)-symmetric potential with Dirac delta functions ⋮ \({\mathcal{PT}}\)-symmetric periodic optical potentials ⋮ The Nonlinear Schrödinger Equation for the Delta-Comb Potential: Quasi-Classical Chaos and Bifurcations of Periodic Stationary Solutions ⋮ An explicitly solvable model of the spontaneous PT-symmetry breaking

Cites Work

• Solvable simulation of a double-well problem in   -symmetric quantum mechanics
• The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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