Recent Developments in Quantum Mechanics pp 257-264 | Cite as
Spectral Properties of Bent Quantum Wires
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Abstract
Spectral properties for Hamiltonians describing pure-semiconductor quantum wires are discusssed. The curvature-induced bound states that exist in thin infinitely long wires are shown to turn into resonances when a finite-length wire is joined to a pair of macroscopic electrodes.
Keywords
Quantum Wire Minimax Estimate Fixed Positive Number Free Resolvent Singular Boundary Condition
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References
- Baumgaertel, H. and Demuth, M. (1976) Perturbations of unstable eigenvalues of finite multiplicity, J.Funct.Anal. 22, 187–203.zbMATHCrossRefGoogle Scholar
- Bulla, W. and Gesztesy, F. (1985) Deficiency indices and singular boundary conditions, J.Math.Phys. 26, 2520–2528.MathSciNetADSzbMATHCrossRefGoogle Scholar
- Duclos, P. and Exner, P. (1990) Bound states in curved quantum waveguides in two and three dimensions, in preparation.Google Scholar
- Exner, P. (1990) A model of resonance scattering on curved quantum wires, Annalen der Physik, to appear.CrossRefGoogle Scholar
- Exner, P. and Seba, P. (1987) Quantum motion on a half line connected to a plane, J.Math.Phys. 28, 386–391, 2304.MathSciNetADSzbMATHCrossRefGoogle Scholar
- Exner, P. and Seba, P. (1989) Bound states in curved quantum waveguides, J.Math.Phys. 30, 2574–2580.MathSciNetADSzbMATHCrossRefGoogle Scholar
- Exner, P., Seba, P. and Stovicek, P. (1989) On existence of a bound state in an L-shapes waveguide, Czech.J.Phys. B30, 1181–1191.ADSCrossRefGoogle Scholar
- Howland, J. (1971) Spectral concentration and virtual poles II, Trans.Amer.Math.Soc. 162, 141–156.MathSciNetCrossRefGoogle Scholar
- Kato, T. (1966) Wave operators and similarity for some non-selfadjoint operators, Math.Annal. 162, 258–279.zbMATHCrossRefGoogle Scholar
- Klaus, M. (1977) On the bound state of Schrödinger operators in one dimension, Ann.Phys. 108, 288–300.Google Scholar
- Landauer, R. (1981) Can a length of perfect conductor have a resistance?, Phys.Lett. A85, 91–93.ADSGoogle Scholar
- Newton, R.G. (1983) Bounds on the number of bound states for the Schrödinger equation in one or two dimensions, J.Oper.Theory 10, 119–125.zbMATHGoogle Scholar
- Temkin, H., et al. (1987) Low temperature photoluminiscence from InGaAs/InP quantum wires and boxes, Appl.Phys.Lett. 50, 413–415.ADSCrossRefGoogle Scholar
- Timp, G., et al. (1988) Propagation around a bend in a multichannel electron waveguide, Phys.Rev.Lett. 60, 2081–2084.ADSCrossRefGoogle Scholar
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© Springer Science+Business Media Dordrecht 1991