We prove existence of standing wave solutions for a nonlinear Schrodinger equation on R-3 under the influence of an external magnetic field B. In particular we deal with the physically meaningful case of a constant magnetic field B=(0,0,b) having source in the potential A(x)=(b/2)(-x(2),x(1),0) corresponding to the Lorentz gauge.
Semiclassical states for NLS equations with magnetic potentials having polynomial growths / Cingolani, S.; Secchi, S.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 46:5(2005). [10.1063/1.1874333]
Semiclassical states for NLS equations with magnetic potentials having polynomial growths
Cingolani, S.;
2005-01-01
Abstract
We prove existence of standing wave solutions for a nonlinear Schrodinger equation on R-3 under the influence of an external magnetic field B. In particular we deal with the physically meaningful case of a constant magnetic field B=(0,0,b) having source in the potential A(x)=(b/2)(-x(2),x(1),0) corresponding to the Lorentz gauge.File in questo prodotto:
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