Non-standard discretization of biological models

Wznw Models from Non-standard Bilinear Forms

We study the WZNW models based on nonstandard bilinear forms. We approach the problem from algebraic, perturbative and functional exact methods. It is shown that even in the case of integer k we can find irrational CFT’s. We prove that when the base group is noncompact with nonabelian maximal compact subgroup, the KacMoody representations are nonunitary.

Solar Models with Non–standard Chemical Composition

The OPAL monochromatic opacity tables are used to evaluate the impact of a non-standard chemical composition on solar models. A calibrated olar model with consistent diffusion including the effect of radiative forces and ionization on drift velocities is presented. It is shown that surface abundances are predicted to change slightly more than in the standard solar models. All elements included ...

Non-standard Hubbard models in optical lattices

Omjyoti Dutta, Mariusz Gajda, Philipp Hauke, Maciej Lewenstein, Dirk-Sören Lühmann, Boris A. Malomed, Tomasz Sowiński, and Jakub Zakrzewski 1 Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland 2 Institute of Physics of the Polish Academy of Sciences, Al. Lotników 32/46, PL-02-668 Warsaw, Poland 3 Center for Theoretical Physics of the Pol...

Interpretation models for non-standard compass directions

Non-Standard Models in a Broader Perspective

Non-standard models were introduced by Skolem, first for set theory, then for Peano arithmetic. In the former, Skolem found support for an anti-realist view of absolutely uncountable sets. But in the latter he saw evidence for the impossibility of capturing the intended interpretation by purely deductive methods. In the history of mathematics the concept of a nonstandard model is new. An analys...