Analytical Approach For Time-Conformable Schrödinger Equations

Xinling  Dong; Yuanyuan  Chen

doi:10.6180/jase.202310_26(10).0010

Analytical Approach For Time-Conformable Schrödinger Equations

Physics

Xinling Dong^1,2 and Yuanyuan Chen³

¹Hainan Vocational University of Science and Technology, Haikou 571126, Hainan, China
²College of Humanities and Marxism, Hebei Oriental University, Langfang 065001, Hebei, China
³School of Foreign Languages Studies, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China

Received: May 1, 2022
Accepted: July 23, 2022
Publication Date: February 9, 2023

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202310_26(10).0010

ABSTRACT

In this paper, we introduce a new technic for solving the conformable Schrödinger equations. The Schrödinger equation is an equation that describes how the quantum state of a physical system changes in time. The conformable derivatives are considered in Khalil sense. The proposed technic is based on conformable Laplace transform (CLT) and new homotopy perturbation technic (NHPT). Two examples are provided to illustrate the reliability and capability of the technique. We show some graphs to explain these solutions. The results obtained with the proposed method show that this approach is very simple, efficient and can be applied to other conformable differential equations

Keywords: Schrödinger Equation; NHPT; CLT.

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