295 citations · 1.9k across the 43 of their papers we have counts for
14 papers · 1 filter
Three-Dimensional Shape Invariant Non-Separable Model With Equidistant Spectrum
M. S. Bardavelidze, F. Cannata, M. V. Ioffe +1
A class of three-dimensional models which satisfy supersymmetric intertwining relations with the simplest - oscillator-like - variant of shape invariance is constructed. It is prov…
New Two-Dimensional Quantum Models with Shape Invariance
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
Two-dimensional quantum models which obey the property of shape invariance are built in the framework of polynomial two-dimensional SUSY Quantum Mechanics. They are obtained using…
Exactly Solvable Non-Separable and Non-Diagonalizable 2-Dim Model with Quadratic Complex Interaction
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
We study a quantum model with non-isotropic two-dimensional oscillator potential but with additional quadratic interaction with imaginary coupling constant. It is shown, t…
Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
The general solution of SUSY intertwining relations for three-dimensional Schrödinger operators is built using the class of second order supercharges with nondegenerate constant me…
Two-field cosmological models and large-scale cosmic magnetic fields
A. A. Andrianov, F. Cannata, A. Yu. Kamenshchik +1
We consider two different toy cosmological models based on two fields (one normal scalar and one phantom) realizing the same evolution of the Bang-to-Rip type. One of the fields (p…
Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
The general solution of SUSY intertwining relations of first order for two-dimensional Schrödinger operators with position-dependent (effective) mass is built in terms of four arbi…