Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl
Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 2

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  85.75.Ff
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

Singularities of Bethe Ansatz via Robinson Numbers

100%
Koper A., Krasoń P., Milewski J.
Acta Physica Polonica A
|
2018
|
vol. 133
|
issue 3
438-440
EN
In this work we suggest a rigorous mathematical approach for explanation of singular solutions of Bethe Ansatz by means of Robinson complex hypernumbers. There are several approaches towards these singular solutions eg. formal infinitesimals or germs of meromorphic functions. Our aim is to make them precise using non-standard analysis and show that they are essentially equivalent.
2
Content available remote

Bethe Ansatz and Geometry of the Classical Configuration Space

88%
Lulek B., Lulek T., Milewski J.
Acta Physica Polonica A
|
2009
|
vol. 115
|
issue 1
159-161
EN
We demonstrate that the seminal one-dimensional model of the Heisenberg magnet, consisting of N spins 1/2 with the nearest-neighbour isotropic interaction, solved exactly by Bethe ansatz, admits an interpretation of a system of r=N/2-M pseudoparticles (spin deviations) which are indistinguishable, have hard cores and move on the chain by local hoppings. Such an approach allows us to construct a manifold with some boundaries, which is genericly r-dimensional, and whose F-dimensional regions, 0
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.