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New solutions for graphene with scalar potentials by means of generalized intertwining. / Ioffe, M.V.; Nishnianidze, David N.; Prokhvatilov, E.V.

в: European Physical Journal Plus, Том 134, № 9, 450, 09.2019.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Ioffe, MV, Nishnianidze, DN & Prokhvatilov, EV 2019, 'New solutions for graphene with scalar potentials by means of generalized intertwining', European Physical Journal Plus, Том. 134, № 9, 450. https://doi.org/10.1140/epjp/i2019-12798-3

APA

Ioffe, M. V., Nishnianidze, D. N., & Prokhvatilov, E. V. (2019). New solutions for graphene with scalar potentials by means of generalized intertwining. European Physical Journal Plus, 134(9), [450]. https://doi.org/10.1140/epjp/i2019-12798-3

Vancouver

Ioffe MV, Nishnianidze DN, Prokhvatilov EV. New solutions for graphene with scalar potentials by means of generalized intertwining. European Physical Journal Plus. 2019 Сент.;134(9). 450. https://doi.org/10.1140/epjp/i2019-12798-3

Author

Ioffe, M.V. ; Nishnianidze, David N. ; Prokhvatilov, E.V. / New solutions for graphene with scalar potentials by means of generalized intertwining. в: European Physical Journal Plus. 2019 ; Том 134, № 9.

BibTeX

@article{a5c6f9aad34240c99c5e423fa2b4b8e6,
title = "New solutions for graphene with scalar potentials by means of generalized intertwining",
abstract = "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 the investigation of a massless (zero energy) two-dimensional Dirac equation with scalar external potential. This equation is related to the description of graphene and some other materials in the field of external electrostatic potential. The use of modified intertwining relations allows to find analytically solutions for the wave functions in the field of some external scalar potentials which depend on both space coordinates. A few examples of this construction are given explicitly.",
keywords = "HAMILTONIANS, QUANTUM-MECHANICS, SUPERSYMMETRY, SUSY APPROACH",
author = "M.V. Ioffe and Nishnianidze, {David N.} and E.V. Prokhvatilov",
year = "2019",
month = sep,
doi = "10.1140/epjp/i2019-12798-3",
language = "English",
volume = "134",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "Springer Nature",
number = "9",

}

RIS

TY - JOUR

T1 - New solutions for graphene with scalar potentials by means of generalized intertwining

AU - Ioffe, M.V.

AU - Nishnianidze, David N.

AU - Prokhvatilov, E.V.

PY - 2019/9

Y1 - 2019/9

N2 - 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 the investigation of a massless (zero energy) two-dimensional Dirac equation with scalar external potential. This equation is related to the description of graphene and some other materials in the field of external electrostatic potential. The use of modified intertwining relations allows to find analytically solutions for the wave functions in the field of some external scalar potentials which depend on both space coordinates. A few examples of this construction are given explicitly.

AB - 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 the investigation of a massless (zero energy) two-dimensional Dirac equation with scalar external potential. This equation is related to the description of graphene and some other materials in the field of external electrostatic potential. The use of modified intertwining relations allows to find analytically solutions for the wave functions in the field of some external scalar potentials which depend on both space coordinates. A few examples of this construction are given explicitly.

KW - HAMILTONIANS

KW - QUANTUM-MECHANICS

KW - SUPERSYMMETRY

KW - SUSY APPROACH

UR - http://www.scopus.com/inward/record.url?scp=85073201438&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/new-solutions-graphene-scalar-potentials-means-generalized-intertwining

U2 - 10.1140/epjp/i2019-12798-3

DO - 10.1140/epjp/i2019-12798-3

M3 - Article

VL - 134

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 9

M1 - 450

ER -

ID: 45993054