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