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About: Lieb–Thirring inequality     Goto   Sponge   NotDistinct   Permalink

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In mathematics and physics, Lieb–Thirring inequalities provide an upper bound on the sums of powers of the negative eigenvalues of a Schrödinger operator in terms of integrals of the potential. They are named after E. H. Lieb and W. E. Thirring. The inequalities are useful in studies of quantum mechanics and differential equations and imply, as a corollary, a lower bound on the kinetic energy of quantum mechanical particles that plays an important role in the proof of stability of matter.