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Compactness properties for trace-class operators and applications to quantum mechanics
ArticleAbstract: Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint tracPalabras claves:Compact self-adjoint operators, Gagliardo-Nirenberg inequality, Lieb-Thirring inequality, Logarithmic Sobolev inequality, Mixed states, Occupation numbers, Optimal constants, Orthonormal and sub-orthonormal systems, Trace-class operatorsAutores:Dolbeault J., Felmer P., Juan Mayorga-ZambranoFuentes:scopusSEMICLASSICAL ASYMPTOTICS OF INFINITELY MANY SOLUTIONS FOR THE INFINITE CASE OF A NONLINEAR SCHRÖDINGER EQUATION WITH CRITICAL FREQUENCY
ArticleAbstract: We consider a nonlinear Schrödinger equation with critical frequency, (Pɛ): ɛ2∆v(x)-V(x)v(x) + |v(x)Palabras claves:Critical frequency, Infinite case, Nonlinear Schrödinger equation, Semiclassical asymptoticsAutores:Ariel Aguas-Barreno, Jordy Cevallos-Chavez, Juan Mayorga-Zambrano, Leonardo Medina-EspinosaFuentes:scopus