4 papers · 1 filter
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…
On a Resolution of the Identity in Terms of Coherent States
Boris F. Samsonov
Transformations of coherent states of the free particle by bounded and semibounded symmetry operators are considered. Resolution of the identity operator in terms of the transforme…
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…