**Xinling Dong ^{1,2} and Yuanyuan Chen^{3} **

^{1}Hainan Vocational University of Science and Technology, Haikou 571126, Hainan, China^{2}College of Humanities and Marxism, Hebei Oriental University, Langfang 065001, Hebei, China^{3}School 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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