Displaying similar documents to “Quantum integrable 1D anyonic models: construction through braided Yang-Baxter equation.”

Quantum interfaces

Bruno Nachtergaele (1998)

Banach Center Publications

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We review recent results on interface states in quantum statistical mechanics.

Symmetries of an extended Hubbard Model

Bianca Cerchiai, Peter Schupp (1997)

Banach Center Publications

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The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting S U q ( 2 ) holds as a true quantum symmetry, but only for D=1.

A Quantum Corrected Poisson-Nernst-Planck Model for Biological Ion Channels

Jinn-Liang Liu (2015)

Molecular Based Mathematical Biology

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A quantum corrected Poisson-Nernst-Planck (QCPNP) model is proposed for simulating ionic currents through biological ion channels by taking into account both classical and quantum mechanical effects. A generalized Gummel algorithm is also presented for solving the model system. Compared with the experimental results of X-ray crystallography, it is shown that the quantum PNP model is more accurate than the classical model in predicting the average number of ions in the channel pore. Moreover,...