the phase-equivalent matrix-valued potentials, the scattering on the axis and on the semi-axis, the inverse problem, the triangular matrix potential, the scattering data.
UDC:
517.9, 530.1, 517.4
Subject:
Inverse scattering problem for the non-hermitian systems of the differential equations.
Main publications:
Bondarenko E. I. (Zubkova E. I.) Vozmuscheniya normirovochnykh matrits obratnoi zadachi rasseyaniya // Matem. fizika, analiz, geometriya. 2002. T. 9, # 1. S. 3–17.
Bondarenko E. I. (Zubkova E. I.), Rofe-Beketov F. S. Obratnaya zadacha rasseyaniya na poluosi dlya sistemy s treugolnym matrichnym potentsialom // Matem. fizika, analiz, geometriya. 2003. T. 10, # 3. S. 412–424.
Zubkova E. I. and Rofe-Beketov F. S. Inverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular Matrix Potential. I. Main Theorem // J. Math. Phys., Anal., Geom. 2007. V. 3, # 1. P. 47–60.
Zubkova E. I. and Rofe-Beketov F. S. Inverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular Matrix Potential. II. Addition of the Discrete Spectrum // J. Math. Phys., Anal., Geom. 2007. V. 3, # 2. P. 176–195.
Bondarenko E. I. (Zubkova E. I.), Rofe-Beketov F. S. Fazovo-ekvivalentnye matrichnye potentsialy // Elektromagnitnye volny i elektronnye sistemy. 2000. T. 5, # 3. S. 6–24. (Angl. per.: Telecommunications and Radio Engineering. 2001. V. 56, # 8 & 9. P. 4–29.)
E. I. Zubkova, F. S. Rofe-Beketov, “Necessary and sufficient conditions in inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential”, Zh. Mat. Fiz. Anal. Geom., 5:3 (2009), 296–309
E. I. Zubkova, F. S. Rofe-Beketov, “Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. II. Addition of the discrete spectrum”, Zh. Mat. Fiz. Anal. Geom., 3:2 (2007), 176–195
E. I. Zubkova, F. S. Rofe-Beketov, “Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. I. Main theorem”, Zh. Mat. Fiz. Anal. Geom., 3:1 (2007), 47–60
E. I. Bondarenko, F. S. Rofe-Beketov, “Inverse scattering problem on the semiaxis for the system with the triangle matrix potential”, Mat. Fiz. Anal. Geom., 10:3 (2003), 412–424
Contact us: