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首页> 外文期刊>Leonardo Electronic Journal of Practices and Technologies >Deriving time dependent Schr鰀inger equation from Wave-Mechanics, Schr鰀inger time independent equation, Classical and Hamilton-Jacobi equations
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Deriving time dependent Schr鰀inger equation from Wave-Mechanics, Schr鰀inger time independent equation, Classical and Hamilton-Jacobi equations

机译：从波动力学，与时间无关的薛定鰀方程，经典方程和汉密尔顿-雅各比方程推导时间相关的薛定鰀方程

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摘要

The concept of time dependent Schr?dinger equation (TDSE) illustrated in literature and even during class room teaching is mostly either complex or meant for advanced learners. This article is intended to enlighten the concept to the beginners in the field and further to improve knowledge about detailed steps for abstract mathematical formulation used which helps in understanding to derive TDSE using various tools and in more comprehensible manner. It is shown that TDSE may be derived using wave mechanics, time independent equation, classical & Hamilton-Jacobi’s equations. Similar attempts have been done earlier by some researchers. However, this article provides a comprehensive, lucid and well derived derivation, derived using various approaches, which would make this article unique.
机译：文献中甚至在课堂教学中说明的与时间有关的薛定（方程（TDSE）的概念通常要么很复杂，要么适合高级学习者。本文旨在向本领域的初学者启发该概念，并进一步提高有关所用抽象数学公式的详细步骤的知识，这有助于理解使用各种工具并以更易理解的方式得出TDSE。结果表明，TDSE可以使用波浪力学，时间独立方程，经典＆Hamilton-Jacobi方程来推导。一些研究人员早些时候已经做了类似的尝试。但是，本文提供了使用各种方法得出的全面，明晰且派生良好的推导，这将使本文独一无二。

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