Symbolic-numerical algorithms to solve the quantum tunneling problem for a coupled pair of ions
作者： A. A. Gusev , S. I. Vinitsky , O. Chuluunbaatar , V. P. Gerdt , V. A. Rostovtsev
DOI: 10.1007/978-3-642-23568-9_14
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摘要: Symbolic-numerical algorithms for solving a boundary value problem (BVP) the 2D Schrodinger equation with homogeneous third type conditions to study quantum tunneling model of coupled pair nonidentical ions are described. The Kantorovich reduction above non-symmetric long-range potentials BVPs sets second order ordinary differential equations (ODEs) is given by expanding solution over one-parametric set basis functions. Symbolic evaluation asymptotics functions, effective potentials, and linear independent solutions ODEs in form inverse power series variable at large values using appropriate etalon equations. Benchmark calculation identical through Coulomb-like barrier presented.
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