nLab Elliott Lieb

Elliot Herschel Lieb is Professor of Mathematics and Physics at the University of Princeton.

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Selected writings

Introducing what came to be known as Temperley-Lieb algebras:

• H. Neville V. Temperley, Elliott H. Lieb: Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem, Proceedings of the Royal Society A, 322 (1971) 1549 [doi:10.1098/rspa.1971.0067, pdf]

Introducing the AKLT model extension of the Heisenberg spin chain:

• Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki: Rigorous results on valence-bond ground states in antiferromagnets, Phys. Rev. Lett. 59 (1987) 799 [doi:10.1103/PhysRevLett.59.799]

On the second law of thermodynamics:

• Elliott H. Lieb, Jakob Yngvason: The Physics and Mathematics of the Second Law of Thermodynamics, Phys. Rept. 310 (1999) 1-96 [arXiv:cond-mat/9708200, doi:10.1016/S0370-1573(98)00082-9]

On the stability of matter according to quantum mechanics:

• Elliott Lieb, Robert Seiringer: Stability of Matter in Quantum Mechanics, Cambridge University Press (2010) [doi:10.1017/CBO9780511819681, pdf]

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