Geodesic
A~new two-parameter family of exactly solvable Dirac Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 243-251

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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.
Mots-clés : Darboux transformation, Dirac equation
Keywords: supersymmetry. 
@article{TMF_2009_159_2_a4,
     author = {E. O. Pozdeeva},
     title = {A~new two-parameter family of exactly solvable {Dirac} {Hamiltonians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {243--251},
     publisher = {mathdoc},
     volume = {159},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a4/}
}
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E. O. Pozdeeva. A~new two-parameter family of exactly solvable Dirac Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 243-251. http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a4/