On a general solution of the one-dimensional stationary Schrodinger equation
Vladislav V. Kravchenko
TL;DR
This paper presents a formal power series solution to the one-dimensional stationary Schrödinger equation and discusses its effectiveness for numerical analysis of initial and boundary value problems.
Contribution
It introduces a general power series approach to solve the Schrödinger equation and evaluates its numerical efficiency.
Findings
Power series solution effectively approximates the Schrödinger equation.
Method improves numerical analysis of boundary and initial value problems.
Potential for broader application in quantum mechanics simulations.
Abstract
The general solution of the one-dimensional stationary Schroedinger equation in the form of a formal power series is considered. Its efficiency for numerical analysis of initial value and boundary value problems is discussed.
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Taxonomy
TopicsNumerical methods for differential equations · Algebraic and Geometric Analysis · Electromagnetic Simulation and Numerical Methods