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Abstract In 1975, Lieb and Thirring derived a semiclassical lower bound on the kinetic energy for fermions, which agrees with the Thomas–Fermi approximation up to a constant factor. Whenever the… Click to show full abstract
Abstract In 1975, Lieb and Thirring derived a semiclassical lower bound on the kinetic energy for fermions, which agrees with the Thomas–Fermi approximation up to a constant factor. Whenever the optimal constant in their bound coincides with the semiclassical one is a long-standing open question. We prove an improved bound with the semiclassical constant and a gradient error term which is of lower order.
Keywords:
lieb thirring;
gradient error;
error term;
constant gradient;
semiclassical constant
Journal Title: Journal of Functional Analysis
Year Published: 2017
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Journal Title: Journal of Functional Analysis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!