255 citations · 1.7k across the 51 of their papers we have counts for
52 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…
Weak field limit for embedding gravity
S. S. Kuptsov, M. V. Ioffe, S. N. Manida +1
We study a perturbation theory for embedding gravity equations in a background for which corrections to the embedding function are linear with respect to corrections to the flat me…
The Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) Equation for Two-Dimensional Systems
Alexander A. Andrianov, Mikhail V. Ioffe, Ekaterina A. Izotova +1
Open quantum systems are, in general, described by a density matrix that is evolving under transformations belonging to a dynamical semigroup. They can obey the Franke-Gorini-Kossa…
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…
Polyakov-like approach to the modified gravity and other geometric theories
A. A. Sheykin, M. V. Ioffe, S. N. Manida +1
We study the procedure that allows to rewrite the actions of some modified gravity theories like mimetic gravity and Regge-Teitelboim embedding theory as Einstein-Hilbert actions w…
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…