Numerical solution of the Schrödinger equations with polynomial potentials (Part II)
The algorithm of the numerical realization of a fundamental solution of a Cauchy problem for the one-dimensional Schrodinger equation with polynomial potentials is described. The stationary Schrodinger equation for a proton in the double potential well is solved by using Ritz variation method. The Green’s function is formed on a discrete spectrum of these solutions and after ...
Numerical solution of the Schrödinger equations with polynomial potentials (Part I)
The fundamental solution of a Cauchy problem and the spectral task for a one-dimensional Schrodinger equations with potential in the form of polynomials m P (x) (m 6) is solved. Numerical calculations are applied to modelling adiabatic potentials with two minima characteristic for a proton in compounds with intramolecular hydrogen bonds.
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