7 citations · 21 across the 5 of their papers we have counts for
5 papers
Refined comparison theorems for the Dirac equation with spin and pseudo--spin symmetry in dimensions
Richard L. Hall, Petr Zorin
The classic comparison theorem of quantum mechanics states that if two potentials are ordered then the corresponding energy eigenvalues are similarly ordered, that is to say if $V_…
Sharp comparison theorems for the Klein--Gordon equation in dimensions
Richard L. Hall, Petr Zorin
We establish sharp (or `refined') comparison theorems for the Klein--Gordon equation. We show that the condition , which leads to , can be replaced by the w…
Refined comparison theorems for the Dirac equation in d dimensions
Richard L. Hall, Petr Zorin
A single spin- particle obeys the Dirac equation in spatial dimension and is bound by an attractive central monotone potential which vanishes at infinity (in…
Nodal theorems for the Dirac equation in d >= 1 dimensions
Richard L. Hall, Petr Zorin
A single particle obeys the Dirac equation in spatial dimensions and is bound by an attractive central monotone potential that vanishes at infinity. In one dimension, the…
Dirac eigenvalues for a softcore Coulomb potential in d dimensions
Richard L. Hall, Petr Zorin
A single fermion is bound by a softcore central Coulomb potential V(r) = -v/(r^q + b^q)^(1/q), v>0, b>0, q \ge 1, in d>1 spatial dimensions. Envelope theory is used to construct an…