New method to solve certain differential equations

Kazimierz Rajchel; Jerzy Szczęsny

doi:10.1515/aupcsm-2016-0009

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New method to solve certain differential equations

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 15 (2016): Issue 1 (December 2016)

By: Kazimierz Rajchel and Jerzy Szczęsny

Open Access

|Dec 2016

Abstract

A new method to solve stationary one-dimensional Schroedinger equation is investigated. Solutions are described by means of representation of circles with multiple winding number. The results are demonstrated using the well-known analytical solutions of the Schroedinger equation.

References

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Articles in this issue

DOI: https://doi.org/10.1515/aupcsm-2016-0009 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 107 - 111

Submitted on: Oct 20, 2016

Accepted on: Nov 12, 2016

Published on: Dec 23, 2016

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

differential equation,

Schroedinger equation,

unit circle

Related subjects:

Mathematics,

General mathematics

© 2016 Kazimierz Rajchel, Jerzy Szczęsny, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 15 (2016): Issue 1 (December 2016)