2 papers
math-ph1998
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…
quant-ph1998
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…