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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 3, Pages 368–390
DOI: https://doi.org/10.4213/tmf6736 (Mi tmf6736) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov–Bohm potentials in $2+1$ dimensions

V. R. Khalilov, K. E. Lee

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (484 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6736
Abstract: We find all self-adjoint Dirac Hamiltonians in Coulomb and Aharonov–Bohm potentials in $2+1$ dimensions with the fermion spin taken into account. We obtain implicit equations for the spectra and construct eigenfunctions for all self-adjoint Dirac Hamiltonians in the indicated external fields. We find explicit solutions of the equations for the spectra in some cases.
Keywords: symmetric operator, self-adjoint extension of the Hamiltonian, Coulomb potential in $2+1$ dimensions, Aharonov–Bohm potential, spin.
Received: 08.12.2010
Revised: 09.03.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 3, Pages 1683–1703
DOI: https://doi.org/10.1007/s11232-011-0145-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. R. Khalilov, K. E. Lee, “Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov–Bohm potentials in $2+1$ dimensions”, TMF, 169:3 (2011), 368–390; Theoret. and Math. Phys., 169:3 (2011), 1683–1703
Citation in format AMSBIB
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\by V.~R.~Khalilov, K.~E.~Lee
\paper Discrete spectra of the~Dirac Hamiltonian in Coulomb and Aharonov--Bohm potentials in $2+1$ dimensions
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\yr 2011
\vol 169
\issue 3
\pages 368--390
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\crossref{https://doi.org/10.4213/tmf6736}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 169
\issue 3
\pages 1683--1703
\crossref{https://doi.org/10.1007/s11232-011-0145-4}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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