91 citations · 336 across the 23 of their papers we have counts for
23 papers
Solvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field
Mikhail V. Ioffe, David N. Nishnianidze
It is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes b…
Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation
M. V. Ioffe, D. N. Nishnianidze
It is commonly known that the Fokker-Planck equation is exactly solvable only for some particular systems, usually with time-independent drift coefficients. To extend the class of…
New solutions for graphene with scalar potentials by means of generalized intertwining
M. V. Ioffe, D. N. Nishnianidze, E. V. Prokhvatilov
The intertwining relations between superpartner Hamiltonians are the main ingredients of well known Supersymmetrical Quantum Mechanics (SUSY QM). In the present paper, the generali…
Zero Energy States for a Class of Two-Dimensional Potentials in Graphene
M. V. Ioffe, D. N. Nishnianidze
The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero e…
SUSY Method for the Three-Dimensional Schrödinger Equation with Effective Mass
M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze
The three-dimensional Schrödinger equation with a position-dependent (effective) mass is studied in the framework of Supersymmetrical (SUSY) Quantum Mechanics. The general solution…
Some Properties of the Shape Invariant Two-Dimensional Scarf II Model
M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze
Two-dimensional Scarf~II quantum model is considered in the framework of Supersymmetrical Quantum Mechanics (SUSY QM). Previously obtained results for this integrable system are sy…