Spherically symmetric Dirac operators with variable mass and potentials infinite at infinity
Schmidt, Karl Michael ; Yamada, Osanobu
arXiv, 9804091 / Harvested from arXiv
Text on arXiv
We study the spectrum of spherically symmetric Dirac operators in three-dimensional space with potentials tending to infinity at infinity under weak regularity assumptions. We prove that purely absolutely continuous spectrum covers the whole real line if the potential dominates the mass, or scalar potential, term. In the situation where the potential and the scalar potential are identical, the positive part of the spectrum is purely discrete; we show that the negative half-line is filled with purely absolutely continuous spectrum in this case.
Publié le : 1998-04-20
Classification:  Mathematics - Spectral Theory,  Mathematical Physics,  81Q10 (primary) 35Q40, 34L40 (secondary) 
@article{9804091,
     author = {Schmidt, Karl Michael and Yamada, Osanobu},
     title = {Spherically symmetric Dirac operators with variable mass and potentials
  infinite at infinity},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9804091}
}

Schmidt, Karl Michael; Yamada, Osanobu. Spherically symmetric Dirac operators with variable mass and potentials
  infinite at infinity. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804091/