UDC 517.958:530.145.6 KANTBP 3.0: New Version of a Program for Computing Energy Levels, Reflection and Transmission Matrices, and Corresponding Wave Functions in the Coupled-Channel Adiabatic Approach A. A. Gusev∗, O. Chuluunbaatar†, S. I. Vinitsky∗, A. G. Abrashkevich‡ ∗ Joint Institute for Nuclear Research 6, Joliot-Curie, Dubna, Moscow region, Russia, 141980 † School of Mathematics and Computer Science National University of Mongolia, Mongolia ‡ IBM Toronto Lab, 8200 Warden Avenue, Markham, ON L6G 1C7, Canada Brief description of a FORTRAN 77 program for calculating energy values, refection and transmission matrices, and corresponding wave functions in a coupled-channel approximation of the adiabatic approach is presented. <...> In this approach, a multidimensional Schr¨ odinger equation is reduced to a system of the coupled second-order ordinary differential equations on a finite interval with the homogeneous boundary conditions of the third type at the leftand right-boundary points for continuous spectrum problem, or a set of first, second and third type boundary conditions for discrete spectrum problem. <...> The resulting system of these equations containing the potential matrix elements and first-derivative coupling terms is solved using high-order accuracy approximations of the finite element method. <...> Key words and phrases: boundary value problem, multichannel scattering problem, finite element method, Kantorovich method. 1. <...> Introduction lating with a required accuracy approximate eigensolutions of the continuum spectrum for systems of coupled differential equations on finite intervals of the variable In this work we present a brief description of a KANTBP3 program for calcuz ∈ [zmin, zmax] using a general homogeneous boundary condition of the third-type [1]. <...> This approach can be used in calculations of effects of electron screening on low-energy fusion cross sections, channeling processes, threshold phenomena in the formation and ionization of (anti)hydrogen-like atoms and ions in magnetic traps, scattering problem for quantum dots and quantum wires in magnetic field, potential scattering with confinement potentials, penetration through a two-dimensional fission barrier, tunneling from false vacuum of two interacted particles and three-dimensional tunneling of a diatomic molecule incident upon a potential barrier [2, 5]. 2. <...> Statement of the Problem nal Schr¨ In the Kantorovich method or close-coupling adiabatic approach, themultidimensioodinger equation is reduced to a finite <...>