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A numerical study of the Lieb-Thirring kinetic energy lower bound
(Taylor and Francis, 2016)
In this work, the Lieb-Thirring kinetic energy bound is numerically examined for a variety of systems: the hydrogen-like atoms, neutral atoms, isoelectronic series of atomic ions, the Hooke's atom and some small molecules. ...
Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-09-01)
This paper is devoted to inequalities of Lieb-Thirring type. Let V be a nonnegative potential such that the corresponding Schrodinger operator has an unbounded sequence of eigenvalues (lambda(i) (V))(i is an element of ...