Higher order differentiability of nonlinear operators on normed spaces. I.
Zuhair M. Nashed (1969)
Commentationes Mathematicae Universitatis Carolinae
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Zuhair M. Nashed (1969)
Commentationes Mathematicae Universitatis Carolinae
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Frankiewicz, Ryszard, Gutek, Andrzej
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Zuhair M. Nashed (1969)
Commentationes Mathematicae Universitatis Carolinae
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Jonathan Andreasen, Miroslav Kolesik (2013)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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This work demonstrates an improved method to simulate long-distance femtosecond pulse propagation in highcontrast nanowaveguides. Different from typical beam propagation methods, the foundational tool here is capable of simulating strong spatiotemporal waveform reshaping and extreme spectral dynamics. Meanwhile, the ability to fully capture effects due to index contrast in the transverse direction is retained, without requiring a decomposition of the electric field in terms of waveguide...
Anton Heidar Thorolfsson, Andrei Manolescu, D.C. Marinescu, Vidar Gudmundsson (2012)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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We analyze the charge and spin distributions induced in an interacting electron system confined inside a semiconductor quantum wire with spin orbit interaction in the presence of an external magnetic field. The wire, assumed to be infinitely long, is obtained through lateral confinement in three different materials: GaAs, InAs, and InSb. The spin-orbit coupling, linear in the electron momentum is of both Rashba and Dresselhaus type. Within the Hartree-Fock approximation the many-body...