5 papers · 1 filter
Darboux transformations and hidden quadratic supersymmetry of the one-dimensional stationary Dirac equation
N. Debergh, A. A. Pecheritsin, B. F. Samsonov +1
A matricial Darboux operator intertwining two one-dimensional stationary Dirac Hamiltonians is constructed. This operator is such that the potential of the second Dirac Hamiltonian…
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…
Time Dependent Supersymmetry in Quantum Mechanics
Vladislav G. Bagrov, Boris F. Samsonov
The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY o…