16 citations · 17 across the 2 of their papers we have counts for
7 papers
Darboux transformation for two-level systems
V. G. Bagrov, M. C. Baldiotti, D. M. Gitman +1
We develop the Darboux procedure for the case of the two-level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not viol…
Angular dependence of synchrotron radiation intensity
V. G. Bagrov, V. G. Bulenok, D. M. Gitman +3
The detailed analysis of angular dependence of the synchrotron radiation (SR) is presented. In particular, we analyze the angular dependence of the integral SR-intensity and peculi…
Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields
V. G. Bagrov, D. M. Gitman, V. B. Tlyachev
We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields…
Darboux transformation of coherent states
V. G. Bagrov, B. F. Samsonov, L. A. Shekoyan
It is proved that the Darboux transformation of the system of coherent states of a free particle leads to the states that may be treated as coherent states of soliton-like potentia…
Supercoherent States of Calogero-Sutherland Oscillator
Vladislav G. Bagrov, Boris F. Samsonov
Supersymmetric quantum mechanical model of Calogero-Sutherlend singular oscillator is constructed. Supercoherent states are defined with the help of supergroup displacement operato…
N-order Darboux transformation and a spectral problem on semiaxis
Vladislav G. Bagrov, Boris F. Samsonov, L. A. Shekoyan
N-order Darboux transformation operator is defined on the basis of a general notion of transformation operators. Factorisation properties of this operator are studied. The Darboux…