23,146 research outputs found
q-Deformed Kink Solutions
The q-deformed kink of the 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.Comment: 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
On Matrix Superpotential and Three-Component Normal Modes
We consider the supersymmetric quantum mechanics (SUSY QM) with three-
component normal modes for the Bogomol'nyi-Prasad-Sommerfield (BPS) states. An
explicit form of the SUSY QM matrix superpotential is presented and the
corresponding three-component bosonic zero-mode eigenfunction is investigated.Comment: 17 pages, no figure. Paper accepted for publication in Journal of
Physics A: Mathematical and Theoretica
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