Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Nishnianidze, D. N."'
Autor:
Ioffe, M. V., Nishnianidze, D. N.
Publikováno v:
The European Physical Journal Plus 137 (2022) 1195
In the present paper, a systematic approach is presented for solution of two-dimensional massless Dirac equation with external electrostatic potential applied. This approach is based on the new - asymmetric - form of SUSY-like intertwining relations.
Externí odkaz:
http://arxiv.org/abs/2209.12539
Autor:
Ioffe, M. V., Nishnianidze, D. N.
Publikováno v:
Europhysics Letters, 129 (2020) 61001
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 solvable problems, we use the intertwining relations of SUSY Quantum M
Externí odkaz:
http://arxiv.org/abs/2004.03980
Publikováno v:
Eur. Phys. J. Plus (2019) 134: 450
The intertwining relations between superpartner Hamiltonians are the main ingredients of well known Supersymmetrical Quantum Mechanics (SUSY QM). In the present paper, the generalized form of intertwining is used for investigation of a massless (zero
Externí odkaz:
http://arxiv.org/abs/1906.03664
Autor:
Ioffe, M. V., Nishnianidze, D. N.
Publikováno v:
Modern Physics Letters B, 32 (2018) 1850329
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 energy equation are built analytically for a wide class of scalar poten
Externí odkaz:
http://arxiv.org/abs/1811.01637
Publikováno v:
Journal of Mathematical Physics 58 (2017) 072105
For the two-dimensional Schr\"odinger equation, the general form of the point transformations such that the result can be interpreted as a Schr\"odinger equation with effective (i.e. position dependent) mass is studied. A wide class of such models wi
Externí odkaz:
http://arxiv.org/abs/1712.02253
Publikováno v:
Physics Letters, A380 (2016) 3349-3354
The three-dimensional Schr\"odinger equation with a position-dependent (effective) mass is studied in the framework of Supersymmetrical (SUSY) Quantum Mechanics. The general solution of SUSY intertwining relations with first order supercharges is obt
Externí odkaz:
http://arxiv.org/abs/1608.07387
Publikováno v:
Journal of Mathematical Physics, 57 (2016) 082102
Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in derivatives the intertwined Hamiltonians correspond to completely inte
Externí odkaz:
http://arxiv.org/abs/1608.07379
Publikováno v:
Theoretical and Mathematical Physics 185 (2015) 1445-1453
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 systematized, and some new properties are derived. In particular, it is
Externí odkaz:
http://arxiv.org/abs/1602.00143
Publikováno v:
Annals of Physics 356 (2015) 438-451
The procedure proposed recently by J.Bougie, A.Gangopadhyaya and J.V.Mallow to study the general form of shape invariant potentials in one-dimensional Supersymmetric Quantum Mechanics (SUSY QM) is generalized to the case of Higher Order SUSY QM with
Externí odkaz:
http://arxiv.org/abs/1504.02841
Publikováno v:
Journal of Mathematical Physics 54 (2013) 012107
A class of three-dimensional models which satisfy supersymmetric intertwining relations with the simplest - oscillator-like - variant of shape invariance is constructed. It is proved that the models are not amenable to conventional separation of vari
Externí odkaz:
http://arxiv.org/abs/1212.4805