Compactness properties for trace-class operators and applications to quantum mechanics
نویسندگان
چکیده
منابع مشابه
Compactness properties for trace-class operators and applications to quantum mechanics
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. Key-words. Compact self-adjoint ope...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2008
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-008-0533-5