65 citations · 389 across the 65 of their papers we have counts for
8 papers · 1 filter
A note on the action-angle variables for the rational Calogero-Moser system
Tomasz Brzezinski, Cezary Gonera, Piotr Kosinski +1
A relationship between the action-angle variables and the canonical transformation relating the rational Calogero-Moser system to the free one is discussed.
On the equivalence of the rational Calogero-Moser system to free particles
Tomasz Brzezinski, Cezary Gonera, Pawel Maslanka
The canonical transformation and its unitary counterpart which relate the rational Calogero-Moser system to the free one are constructed.
Nahm's equations and root systems
Tomasz Brzezinski, Houari Merabet
A method of deriving solutions to Nahm's equations based on root structure of simple Lie algebras is given. As an illustration of this method the recently found solutions to Nahm's…
Separation of Variables and Vacuum Structure of N=2 SUSY QCD
Tomasz Brzezinski
We show how the method of separation of variables can be used to construct integrable models corresponding to curves describing vacuum structure of four-dimensional …
Representation-theoretic derivation of the Temperley-Lieb-Martin algebras
Tomasz Brzezinski, Jacob Katriel
Explicit expressions for the Temperley-Lieb-Martin algebras, i.e., the quotients of the Hecke algebra that admit only representations corresponding to Young diagrams with a given m…
Translation map in quantum principal bundles
Tomasz Brzezinski
The notion of a translation map in a quantum principal bundle is introduced. A translation map is then used to prove that the cross sections of a quantum fibre bundle as…