Schrödinger-Langevin方程的另一个解

Q4 Multidisciplinary

Revista Lasallista de Investigacion Pub Date : 2021-10-20 DOI:10.22507/rli.v18n1a2

Jairo Alonso Mendoza-Suárez, Juan Carlos López-Carreño, Rosalba Mendoza-Suárez

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引用次数: 0

摘要

引言：给出了薛定谔-朗之万方程的一种替代解，其中解释了时间依赖性，假设库仑势。最后，建立了弹道方程。目的：在本文中，我们提出了库仑势Schrödinger-Langevin方程的一个详细而简单的解。材料和方法：使用适当的模拟，我们求解Schrödinger-Langevin方程，找到位置和力矩的期望值。结果：提出了一种简单的方法来求解Schrödinger-Langevin方程中的期望位置和力矩值，用于求解这些解的模拟使该模型能够以某种方式推广到电势和谐振子。结论：用于求解Schrödinger-Langevin方程的模型，可以找到库仑势中粒子的位置和力矩的期望值，这些解的时间依赖性是明确的，可以找到粒子的路径方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Another Solution to the Schrödinger-Langevin Equation

Introduction: an alternative solution to the Schrodinger-Langevin equation is presented, where the temporal dependence is explained, assuming a Coulomb potential. Finally, the trajectory equations are found. Objective: in this paper we contribute by presenting a detailed and simple solution of the Schrödinger-Langevin equation for a Coulomb potential. Materials and Methods: using an appropriate ansatz, we solve the Schrödinger-Langevin equation, finding the expected values of position and moment. Results: a simple method was presented to find the expected position and moment values in the Schrödinger-Langevin equation, the ansatz used to find these solutions allows the model to be generalized in a certain way to electric potentials and harmonic oscillators. Conclusions: the model used to solve the Schrödinger-Langevin equation, allowed to find the expected values of position and moment of a particle in a Coulomb potential, the temporal dependence of such solutions is made explicit, which allows finding the path equations of the particles.

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来源期刊

Revista Lasallista de Investigacion Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

期刊介绍： La Revista Lasallista de Investigación (ISSN: 1794 – 4449) – (ISSN (en línea): 2256 – 3938) es una revista con cobertura nacional e internacional que publica artículos en el el área de las Ciencias naturales, Ciencias Humanas y Sociales, entre otras, relativos a la investigación, desde diferentes disciplinas, siendo sometida toda publicación a verificación y cumplimiento de criterios de calidad y éticos. Es una publicación disciplinar y multidisciplinar editada por la Corporación Universitaria Lasallista, desde 2004 y está orientada a académicos, investigadores y científicos interesados en difundir su producción. Tiene versión impresa y electrónica de acceso abierto en la dirección http://repository.lasallista.edu.co:8080/ojs/index.php/rldi. Cabe anotar que los contenidos publicados en la revista son de libre acceso y no requieren ningún tipo de pago para su consulta. Para mayor Información comunicarse en la Corporación Universitaria Lasallista, PBX (057) 320 19 99 ext. 156. En la Revista se encuentran artículos en español, inglés y portugués, siendo publicados de manera eficiente artículos de investigación científica tecnológica, artículos de revisión, artículos breves, reportes de caso, cartas al editor, artículos de reflexión derivados de investigación, entre otros. La administración de los artículos se realiza en la plataforma de gestión de publicaciones (Open Journal System).