Low-dimensional Sigma Models,
- W. Zakrzewski
- Physics
- 1 June 1989
Introduction to path integrals - quantum mechanics fermions functional integrals in field theory further comments on functional methods green functions in field theory application of the saddly point…
The concept of quasi-integrability for modified non-linear Schrödinger models
- L. A. Ferreira, G. Luchini, W. Zakrzewski
- Mathematics
- 25 June 2012
A bstractWe consider modifications of the nonlinear Schrödinger model (NLS) to look at the recently introduced concept of quasi-integrability. We show that such models possess an infinite number of…
Galilean-Invariant (2+1)-Dimensional Models with a Chern–Simons-Like Term andD=2 Noncommutative Geometry☆
- J. Lukierski, P. Stichel, W. Zakrzewski
- Physics
- 2 December 1996
Abstract We consider a new D =2 nonrelativistic classical mechanics model providing via the Noether theorem the (2+1)-Galilean symmetry algebra with two central charges: mass m and the coupling…
Multisolitons in a two-dimensional Skyrme model
- B. Piette, B. Schroers, W. Zakrzewski
- Physics, Mathematics
- 1 March 1995
The Skyrme model can be generalised to a situation where static fields are maps from one Riemannian manifold to another. Here we study a Skyrme model where physical space is two-dimensional euclidean…
General classical solutions in the CPN−1 model
- A. M. Din, W. Zakrzewski
- Mathematics
- 10 November 1980
Classical and Quantum Mechanics of Free κ-Relativistic Systems
- J. Lukierski, H. Ruegg, W. Zakrzewski
- Physics
- 17 December 1993
We consider the Hamiltonian and Lagrangian formalism describing free κ-relativistic particles with their four-momenta constrained to the κ-deformed mass shell. We study the formalism with commuting…
Dynamics of baby Skyrmions
- B. Piette, B. Schroers, W. Zakrzewski
- Physics
- 10 October 1994
The concept of quasi-integrability: a concrete example
- L. A. Ferreira, W. Zakrzewski
- Physics
- 9 November 2010
We use the deformed sine-Gordon models recently presented by Bazeia et al [1] to take the first steps towards defining the concept of quasi-integrability. We consider one such definition and use it…
Some aspects of self-duality and generalised BPS theories
- C. Adam, L. A. Ferreira, E. D. Hora, A. Wereszczynski, W. Zakrzewski
- Mathematics, Physics
- 30 May 2013
A bstractIf a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field…
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