LIFSHITZ ASYMPTOTICS AND LOCALIZATION FOR RANDOM QUANTUM WAVEGUIDES

DOI10.1142/S0129055X00000435zbMath0976.81008OpenAlexW2029884107MaRDI QIDQ2730406

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Publication date: 7 August 2001

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x00000435

zbMATH Keywords

random Schrödinger operatorlocalizationquantum waveguidesLifshitz tailsdomain perturbations

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Random linear operators (47B80)

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Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ A quantum waveguide with Aharonov–Bohm magnetic field ⋮ Surface localization in impurity band with arbitrary singular disorder and long-range potentials ⋮ Low lying spectrum of weak-disorder quantum waveguides ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ Lifshitz tails for acoustic waves in random quantum waveguide ⋮ On the discrete spectrum of a spatial quantum waveguide with a disc window ⋮ Lifshits tails for randomly twisted quantum waveguides ⋮ Lifshitz tails for quantum waveguides with random boundary conditions ⋮ On the spectrum of curved planar waveguides

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