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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 2, Pages 243–251
DOI: https://doi.org/10.4213/tmf6345 (Mi tmf6345) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A new two-parameter family of exactly solvable Dirac Hamiltonians

E. O. Pozdeeva

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences
Full-text PDF (366 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6345
Abstract: Using the Darboux transformation method, we construct a two-parameter family of exactly solvable Dirac Hamiltonians. We obtain intertwining relations between various members of this family. We study the spectral properties of these Hamiltonians and give explicit expressions for their eigenfunctions.
Keywords: Darboux transformation, Dirac equation, supersymmetry.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 2, Pages 618–626
DOI: https://doi.org/10.1007/s11232-009-0050-2
Bibliographic databases:
Language: Russian
Citation: E. O. Pozdeeva, “A new two-parameter family of exactly solvable Dirac Hamiltonians”, TMF, 159:2 (2009), 243–251; Theoret. and Math. Phys., 159:2 (2009), 618–626
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6345
  • https://doi.org/10.4213/tmf6345
  • https://www.mathnet.ru/eng/tmf/v159/i2/p243
    • This publication is cited in the following 1 articles:
    1. Bilodeau A., Tremblay S., “On Two-Dimensional Supersymmetric Quantum Mechanics, Pseudoanalytic Functions and Transmutation Operators”, J. Phys. A-Math. Theor., 46:42 (2013)  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:534
    Full-text PDF :232
    References:116
    First page:8
     
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