Vortex filament on symmetric Lie algebras and generalized bi-Schrödinger flows
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-2014-9
Abstract: In this article, we display an evolving model on symmetric Lie algebras from a purely geometric way by using the Hamiltonian (or para-Hamiltonian) gradient flow of a fourth order functional called generalized bi-Schrödinger flows, which… read more here.
Keywords: vortex filament; lie algebras; symmetric lie; schr dinger ... See more keywords
Derivation of a generalized Schrödinger equation for dark matter halos from the theory of scale relativity
Sign Up to like & getrecommendations! Published in 2018 at "Physics of the Dark Universe"
DOI: 10.1016/j.dark.2018.09.004
Abstract: Using Nottale's theory of scale relativity, we derive a generalized Schr\"odinger equation applying to dark matter halos. This equation involves a logarithmic nonlinearity associated with an effective temperature and a source of dissipation. Fundamentally, this… read more here.
Keywords: equation; theory scale; dark matter; generalized schr ... See more keywords
Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class
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DOI: 10.1063/5.0013832
Abstract: We construct Darboux transformations of arbitrary order for generalized Schrodinger-type equations, the potentials of which are second-degree polynomials in the energy. Our equations are allowed to contain first-derivative terms with arbitrary coefficients, such as they… read more here.
Keywords: darboux transformations; generalized schr; heun class; energy ... See more keywords