E
Elliott H. Lieb
Researcher at Princeton University
Publications - 514
Citations - 63471
Elliott H. Lieb is an academic researcher from Princeton University. The author has contributed to research in topics: Ground state & Bose gas. The author has an hindex of 107, co-authored 512 publications receiving 57920 citations. Previous affiliations of Elliott H. Lieb include University of Oslo & University of Washington.
Papers
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Two soluble models of an antiferromagnetic chain
TL;DR: In this article, two genuinely quantum models for an antiferromagnetic linear chain with nearest neighbor interactions are constructed and solved exactly, in the sense that the ground state, all the elementary excitations and the free energy are found.
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Exact analysis of an interacting bose gas. i. the general solution and the ground state
Elliott H. Lieb,Werner Liniger +1 more
TL;DR: In this paper, the ground-state energy as a function of γ was derived for all γ, except γ = 0, and it was shown that Bogoliubov's perturbation theory is valid when γ is small.
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Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
Elliott H. Lieb,F. Y. Wu +1 more
TL;DR: In this paper, the short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case, and the ground-state energy, wave function, and chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.
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A relation between pointwise convergence of functions and convergence of functionals
TL;DR: In this article, it was shown that if f n is a sequence of uniformly L p-bounded functions on a measure space, and f n → f pointwise a, then lim for all 0 < p < ∞.