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.
The real analog of the NS system and Viete type polynomials
. 1, №
Лекции по теории динамических систем. Калининград, 2004.
Zaitsev A. A., Dydkovsky P. V.
Schrodinger nonlinear equation, Lax pair, Viete type polynomials.
Exulton-like solution and two phase of collapse of an intrusive lens
... Density Lenses in a Rotating Fluid in Intrathermocline Eddies in the Ocean (Academy of sciences of the
P. Shirshov institute of oceanology,
Fluid Mech. 1972. V
Yurova A. A.
nonlinear Schrodinger equation, exulton, intrathermocline eddies.