Research output: Contribution to journal › Article
Generalized quantum mechanical two-Coulomb-center problem (Demkov problem). / Puchkov, A.M.; Kozedub, A.V.; Bodnia, E.O.
In: Chinese Physics B, Vol. 22, No. 9, 2013, p. 090306_1-7.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Generalized quantum mechanical two-Coulomb-center problem (Demkov problem)
AU - Puchkov, A.M.
AU - Kozedub, A.V.
AU - Bodnia, E.O.
PY - 2013
Y1 - 2013
N2 - The quantum mechanical two Coulomb centers problem for the case of imaginary intercenter parameter and complex conjugate charges is considered. In this case, the Schrodinger equation allows for separation of variables in oblate spheroidal coordinates. Since the potential is defined by the two-sheeted mapping whose singularities are concentrated on a circle, but not points, there arise additional possibilities in choice of boundary conditions. Detailed classification of the various types of boundary-value problems is given. The specific character of the boundary-value problems associated with the quasi-radial equation is discussed. Results of the numerical calculations allowing to draw conclusions about the structure of the energy spectrum are shown.
AB - The quantum mechanical two Coulomb centers problem for the case of imaginary intercenter parameter and complex conjugate charges is considered. In this case, the Schrodinger equation allows for separation of variables in oblate spheroidal coordinates. Since the potential is defined by the two-sheeted mapping whose singularities are concentrated on a circle, but not points, there arise additional possibilities in choice of boundary conditions. Detailed classification of the various types of boundary-value problems is given. The specific character of the boundary-value problems associated with the quasi-radial equation is discussed. Results of the numerical calculations allowing to draw conclusions about the structure of the energy spectrum are shown.
KW - two-Coulomb-center problem
KW - potential models
U2 - 10.1088/1674-1056/22/9/090306
DO - 10.1088/1674-1056/22/9/090306
M3 - Article
VL - 22
SP - 090306_1-7
JO - Chinese Physics B
JF - Chinese Physics B
SN - 1674-1056
IS - 9
ER -
ID: 7378129