scholarly journals Aharonov-Bohm physics with spin. II. Spin-flip effects in two-dimensional ballistic systems

2004 ◽  
Vol 69 (15) ◽  
Author(s):  
Diego Frustaglia ◽  
Martina Hentschel ◽  
Klaus Richter
Keyword(s):  
Two Dimensional ◽  
Spin Flip ◽  
Aharonov Bohm

scholarly journals Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

2011 ◽  
Vol 84 (23) ◽  
Author(s):  
C. González-Santander ◽  
F. Domínguez-Adame ◽  
R. A. Römer
Keyword(s):  
Quantum Ring ◽  
Two Dimensional ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3

2020 ◽  
pp. 2150006
Author(s):  
Denis Bonheure ◽  
Jean Dolbeault ◽  
Maria J. Esteban ◽  
Ari Laptev ◽  
Michael Loss
Keyword(s):  
Magnetic Field ◽  
Dimensional Sphere ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Euclidean Spaces ◽  
Hardy Inequalities ◽  
Interpolation Inequalities ◽  
Nonlinear Interpolation ◽  
Magnetic Potentials ◽  
Aharonov Bohm

This paper is devoted to a collection of results on nonlinear interpolation inequalities associated with Schrödinger operators involving Aharonov–Bohm magnetic potentials, and to some consequences. As symmetry plays an important role for establishing optimality results, we shall consider various cases corresponding to a circle, a two-dimensional sphere or a two-dimensional torus, and also the Euclidean spaces of dimensions 2 and 3. Most of the results are new and we put the emphasis on the methods, as very little is known on symmetry, rigidity and optimality in the presence of a magnetic field. The most spectacular applications are new magnetic Hardy inequalities in dimensions [Formula: see text] and [Formula: see text].

scholarly journals Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields

2019 ◽  
Vol 375 (3) ◽  
pp. 2071-2087 ◽  
Author(s):  
Denis Bonheure ◽  
Jean Dolbeault ◽  
Maria J. Esteban ◽  
Ari Laptev ◽  
Michael Loss
Keyword(s):  
Magnetic Fields ◽  
Two Dimensional ◽  
Aharonov Bohm
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