295 citations · 1.9k across the 43 of their papers we have counts for
43 papers
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…
Equidistance of the Complex 2-Dim Anharmonic Oscillator Spectrum: Exact Solution
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
We study a class of quantum two-dimensional models with complex potentials of specific form. They can be considered as the generalization of a recently studied model with quadratic…
Remarks on the general solution for the flat Friedman universe with exponential scalar-field potential and dust
A. A. Andrianov, F. Cannata, A. Y. Kamenshchik
We show that the simple extension of the method of obtaining the general exact solution for the cosmological model with the exponential scalar-field potential to the case when the…
General solution of scalar field cosmology with a (piecewise) exponential potential
A. A. Andrianov, F. Cannata, A. Yu. Kamenshchik
We study in detail the general solution for a scalar field cosmology with an exponential potential, correcting some imprecisions, encountered previously in the literature. In addit…
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…
Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
Francesco Cannata, Alberto Ventura
We study the one-dimensional Dirac equation with local PT-symmetric potentials whose discrete eigenfunctions and continuum asymptotic eigenfunctions are eigenfunctions of the PT op…