q-Deformed Kink Solutions

Abstract

The q-deformed kink of the $\lambda {\varphi }^4-$model is obtained via the normalisable ground state eigenfunction of a fluctuation operator associated with the q-deformed hyperbolic functions. From such a bosonic zero-mode the q-deformed potential in 1+1 dimensions is found, and we show that the q-deformed kink solution is a kink displaced away from the origin.

REvtex, 11 pages, 2 figures. Preprint CBPF-NF-005/03, site at http://www.cbpf.br. Revised version to appear in International Journal of Modern Physics A

References in corpus (2)

• Reconstruction of field theory from excitation spectra of defects
• On the Scalar Potential Models from the Isospectral Potential Class

Cited by in corpus (1)

• Hierarchy of QM SUSYs on a Bounded Domain