We first convert the angular Teukolsky equation under the special condition of τ≠ 0, s≠ 0,
m= 0 into a confluent Heun differential equation (CHDE) by taking different function …

We present the exact solutions of the angular Teukolsky equation with m≠ 0 given by a
confluent Heun function. This equation is first transformed to a confluent Heun differential …

Two-Coulomb-centre quasiradial and quasiangular wavefunctions asymptotic for large
distances between the fixed positive charges (nuclei) are derived for the entire space of the …

The hydrogen molecular ion, H 2+, is considered in the fixed nuclei approximation. The
oscillator strengths relevant to free-bound transitions in H 2+ are presented as asymptotic …

Coulomb Sturmian amplitude functions are derived in prolate spheroidal coordinates and
are presented in a closed algebraic form. Spheroidal Sturnian functions are revealed to be …

Coulomb Sturmians are obtained in prolate spheroidal coordinates by separation of
variables in the Schrödinger equation and direct solution of the appropriate one …

A charged particle confined in a strongly prolate ellipsoidal shaped finite potential well is
studied. In the case when a distance R between foci is large and accordingly R− 1 is small …

A charged particle (electron or hole) confined in nanorod of strongly prolate ellipsoidal
shape is considered. The effective-mass Schr\" odinger equation is solved in prolate …

We explore collisions of atomic particles in two different regimes. In the first part of this work,
we study atom-atom collisions of alkali metals at ultracold temperatures and conditions …