Schrödinger-like Equations and Wave Mechanics: Bridging Quantum and Classical Realms | Chapter 5 | Current Perspective to Physical Science Research Vol. 3

 This study delves into the sphere of Schrödinger equations and branch of quantum physics, aiming to see if they commit provide a bedrock comparable in generalization to that formulated in the preceding unit, and to bridge the gap middle from two points classical and quantum physics. It starts by deriving a offspring of Schrödinger-like equations. The study presents an intuitive approach for deriving an whole spectrum of Schrödinger-like equatings, encompassing classic and novel variants, through the utilization of the complex wave function and allure conjugate, in addition to the assumptionsA01, A08.Examining the concepts of the complex wave function ψ  and the multi-heading wave function Ψ reveals their equal generality, suggesting the relevance of Schrödinger-like equations in the framework of multi-vectors, including two together ψ and the phase Φ .To investigate the correspondence standard between quantum and simple mechanics, a well-intentional example is dissected in Section 2.4, making necessary the development of a suitable wave function (2.50). The use of the evident function [1, (1.50)] to form the complex test function (2.50) is a logical step, and allure substitution into the Schrödinger equations aims to yield an correspondence.The substitution of (2.50) discloses a discrepancy middle from two points the left and right sides of the Schrödinger equatings (2.25, 2.26), highlighting their shortage in describing the chaste mechanics example correctly. This observation emphasizes the limitations of classic Schrödinger equations and their departure from the agreement principle. Consequently, a more inclusive set of Schrödinger-like equations (2.58-2.68) is derived, translation the previously thought-out equations (2.25, 2.26) inconsequential.Substituting the test function (2.50) into equations (2.58-2.68) demonstrates their healthiness and suitability for the model, establishing the agreement principle between classic and quantum mechanics.Our study indicates that the classic set [1, (1.4-1.6)] exhibits a higher degree of generalization than the quantum individual (2.58-2.68), thereby deferring the authoritative validation concerning this assertion to expected research endeavours. These findings underscore the potential meaning of our framework in connecting the gap middle from two points quantum and classical workings, promising further investigation and validation in future studies.

Author(s) Details:

O. A. Chevtchenko,
HTS-Powercables.nl BV, Apeldoorn, The Netherlands.

Please see the link here: https://stm.bookpi.org/CPPSR-V3/article/view/12585