Magnetic fields generated by piecewise rectilinear configurations.
Udrişte, C., Balan, V., Udrişte, A. (1999)
APPS. Applied Sciences
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Udrişte, C., Balan, V., Udrişte, A. (1999)
APPS. Applied Sciences
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Rainer Hempel (1984)
Manuscripta mathematica
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Dumitrescu, Cristian (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Tuan Duong, Anh (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 81Q20 (35P25, 81V10). The purpose of this paper is to study the Schrödinger operator P(B,w) = (Dx-By^2+Dy^2+w^2x^2+V(x,y),(x,y) О R^2, with the magnetic field B large enough and the constant w № 0 is fixed and proportional to the strength of the electric field. Under certain assumptions on the potential V, we prove the existence of resonances near Landau levels as B®Ґ. Moreover, we show that the width of resonances is of size O(B^-Ґ). ...
A. Iantchenko, E. Korotyaev (2010)
Mathematical Modelling of Natural Phenomena
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We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations. ...
Marek Burnat, Jan Herczyński, Bogdan Zawisza (1987)
Banach Center Publications
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Bernard Helffer, Heinz Siedentop (1995)
Mathematische Zeitschrift
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Z. Gan (2010)
Mathematical Modelling of Natural Phenomena
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We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials can be generated from a procyclic group and answer arising questions. As an expository paper, we discuss the connection between limit-periodic potentials and profinite groups as completely as possible and review some recent results on Schrödinger operators obtained in ...
S. A. Denisov (2010)
Mathematical Modelling of Natural Phenomena
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In this short note, we apply the technique developed in [Math. Model. Nat. Phenom., 5 (2010), No. 4, 122-149] to study the long-time evolution for Schrödinger equation with slowly decaying potential.
Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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J. Bourgain (1996)
Geometric and functional analysis
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G. Nakamura, Z. Sun, G. Uhlmann (1995)
Mathematische Annalen
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