Darboux transformation of coherent states
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 potentials.
math-ph↗
arXiv subjects
L. A. Shekoyan
Publications and source records attributed to L. A. Shekoyan.
N-order Darboux transformation and a spectral problem on semiaxis
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 transformation operator technique is applied to construct and investigate potentials with bound states at arbitrary energies for the spectral problem on semiaxis.
quant-ph↗
Supersymmetry of the Nonstationary Schrödinger equation and Time-Dependent Exactly Solvable Quantum Models
New exactly solvable quantum models are obtained with the help of the supersymmetric extencion of the nonstationary Schr/"odinger equation.
quant-ph↗