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.
1.
Арсеньев А. А.
Оценка функции Грина оператора Шрёдингера // Теоретическая и математическая ...
Numerical solution of the Schrödinger equations with polynomial potentials (Part II)
... Российского государственного университета им. И. Канта. 2009. Вып. 10. С. 104—111.
Kvitko G., Kuzin E., Shott D.
Schrodinger equations, proton, Cauchy problem, Green's function,
specter, Ritz method, adiabatic potential, fundamental solution.
79-93