102 citations · 247 across the 20 of their papers we have counts for
21 papers
Nested Bethe Ansatz for RTT-Algebra
C. Burdik, O. Navratil
This paper continues our recent studies on the algebraic Bethe ansatz for the RTT-algebras of sp() and o() types. In these studies, we encountered the RTT-algebras which we…
Nested Bethe Ansatz for RTT Algebra of U_q(sp(2n) Type
C. Burdik, O. Navratil
We study the highest weight representations of the RTT algebras for the R matrix of sp_q(2n) type by the nested algebraic Bethe ansatz. It is a generalization of our study for R ma…
Soliton solutions and traveling wave solutions for the two-dimensional generalized nonlinear Schrödinger equations
Cestmir Burdik, Gaukhar Shaikhova, Berik Rakhimzhanov
In this paper, we present the two-dimensional generalized nonlinear Schrödinger equations with the Lax pair. These equations are related to many physical phenomena in the Bose-Eins…
BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on
C. Burdik, V. K. Pandey, A. Reshetnyak
Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a -dimensional Minkowski space-time using a metric-like formulation are constructed on the bas…
On generation of the Bargmann-Moshinsky basis of SU(3) group
S. Vinitsky, C. Burdik, A. Gusev +4
An efficient procedure of orthonormalisation of the Bargmann-Moshinsky (BM) basis is examined using analytical formulas of the overlap integrals of the BM basis. Calculations of co…
Nested Bethe ansatz for RTT--algebra of sp(4) type
Cestmir Burdik, Ondrej Navratil
We study the highest weight representations of the RTT--algebras for the R--matrix sp(4) type by the nested algebraic Bethe ansatz. These models were solved by Reshetikhin for sp(2…