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Solvable Lattice Gas Models with Three Phases

Autor: Wei, B. B., Yang, C. N.

Publikováno v: Europhysics Letters 102, 66006 (2013)

Phase boundaries in p-T and p-V diagrams are essential in material science researches. Exact analytic knowledge about such phase boundaries are known so far only in two-dimensional (2D) Ising-like models, and only for cases with two phases. In the pr

Externí odkaz: http://arxiv.org/abs/1307.3820

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Spinless Bosons or Spin 1/2 Fermions in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction I - General Theory

Autor: Ma, Zhong-Qi, Yang, C. N.

In these two papers, we solve the N body 1D harmonically trapped spinless Boson or spin 1/2 Fermions with repulsive delta function interaction in the limit $N\to \infty$.
Comment: 6 pages, 1 figure

Externí odkaz: http://arxiv.org/abs/0910.3470

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Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction

Autor: Ma, Zhong-Qi, Yang, C. N.

Conjectures are made for the ground state energy of a large spin 1/2 Fermion system trapped in a 1D harmonic trap with delta function interaction. States with different spin J are separately studied. The Thomas-Fermi method is used as an effective te

Externí odkaz: http://arxiv.org/abs/0909.0305

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Ground State of Fermions in a 1D Trap with $\delta$ Function Interaction

Autor: Yang, C. N.

The ground state of Fermions in a 1D trap with $\delta$ function interaction is studied mathematically with group theory ideas.
Comment: 7 pages, 1 figure, made some minor changes

Externí odkaz: http://arxiv.org/abs/0906.4593

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