Compactness properties for trace-class operators and applications to quantum mechanics

Dolbeault J.; Felmer P.; Mayorga-Zambrano, J

Abstract

Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint trace-class operators with finite kinetic energy are established. Applying these results to the minimization of various free energy functionals, we determine for instance stationary states of the Hartree problem with temperature corresponding to various statistics. © 2008 Springer-Verlag.

Más información

Título según WOS: Compactness properties for trace-class operators and applications to quantum mechanics
Título según SCOPUS: Compactness properties for trace-class operators and applications to quantum mechanics
Título de la Revista: MONATSHEFTE FUR MATHEMATIK
Volumen: 155
Número: 1
Editorial: SPRINGER WIEN
Fecha de publicación: 2008
Página de inicio: 43
Página final: 66
Idioma: English
URL: http://link.springer.com/10.1007/s00605-008-0533-5
DOI:

10.1007/s00605-008-0533-5

Notas: ISI, SCOPUS