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13 papers · 1 filter
Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane
M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze
Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in…
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…
General Solution of the Two-Dimensional Intertwining Relations for Supercharges with Hyperbolic (Lorentz) Metrics
M. S. Bardavelidze, M. V. Ioffe, D. N. Nishnianidze
The supersymmetrical intertwining relations are the most productive part of the supersymmetrical method in two-dimensional Quantum Mechanics. Most interesting are relations with hy…
Supersymmetrical Separation of Variables for Scarf II Model: Partial Solvability
M. V. Ioffe, E. V. Krupitskaya, D. N. Nishnianidze
Recently, a new quantum model - two-dimensional generalization of the Scarf II - was completely solved analytically by SUSY method for the integer values of parameter. Now, the sam…
Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY Methods
M. V. Ioffe, E. V. Krupitskaya, D. N. Nishnianidze
New two-dimensional quantum model - the generalization of the Scarf II - is completely solved analytically for the integer values of parameter. This model being not amenable to con…
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…