Energy spectrum of the ground state of a two-dimensional relativistic hydrogen atom in the presence of a constant magnetic field

Víctor M. Villalba; Ramiro Pino

doi:10.1142/S0217984903006360

Energy spectrum of the ground state of a two-dimensional relativistic hydrogen atom in the presence of a constant magnetic field

Víctor M. Villalba, Ramiro Pino

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.

Original language	English (US)
Pages (from-to)	1331-1341
Number of pages	11
Journal	Modern Physics Letters B
Volume	17
Issue number	25
DOIs	https://doi.org/10.1142/S0217984903006360
State	Published - Oct 30 2003

Keywords

Dirac equations
Two-dimensional relativistic hydrogen atom
Variational methods

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

Access to Document

10.1142/S0217984903006360

Cite this

@article{0eaf530f4cf64592a1bc5c217c493d62,

title = "Energy spectrum of the ground state of a two-dimensional relativistic hydrogen atom in the presence of a constant magnetic field",

abstract = "We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.",

keywords = "Dirac equations, Two-dimensional relativistic hydrogen atom, Variational methods",

author = "Villalba, {V{\'i}ctor M.} and Ramiro Pino",

note = "Funding Information: V. M. Villalba acknowledges his Fellowship from the Alexander von Stiftung.",

year = "2003",

month = oct,

day = "30",

doi = "10.1142/S0217984903006360",

language = "English (US)",

volume = "17",

pages = "1331--1341",

journal = "Modern Physics Letters B",

issn = "0217-9849",

publisher = "World Scientific",

number = "25",

}

TY - JOUR

T1 - Energy spectrum of the ground state of a two-dimensional relativistic hydrogen atom in the presence of a constant magnetic field

AU - Villalba, Víctor M.

AU - Pino, Ramiro

N1 - Funding Information: V. M. Villalba acknowledges his Fellowship from the Alexander von Stiftung.

PY - 2003/10/30

Y1 - 2003/10/30

N2 - We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.

AB - We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.

KW - Dirac equations

KW - Two-dimensional relativistic hydrogen atom

KW - Variational methods

UR - http://www.scopus.com/inward/record.url?scp=0347533001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347533001&partnerID=8YFLogxK

U2 - 10.1142/S0217984903006360

DO - 10.1142/S0217984903006360

M3 - Article

AN - SCOPUS:0347533001

SN - 0217-9849

VL - 17

SP - 1331

EP - 1341

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 25

ER -

Energy spectrum of the ground state of a two-dimensional relativistic hydrogen atom in the presence of a constant magnetic field

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this