Derivative and partial integral methods and Gauss integral's indefinite integral solution and its use in wave function in quantum mechanics and exact solutions of the wave function depending on position and time

Dila Baspinar (), Ela Baåpinar (), Nesrin Baåpinar () and Umut Aldogan ()
Additional contact information
Dila Baspinar: Ã-zel TED Atakent Anadolu Lisesi
Ela Baåpinar: Private Saint Benoit French High School
Nesrin Baåpinar: AREL Universitesi

Journal of Quantum Technologies and Informatics Research, 2023, vol. 1, issue 1, 55-63

Abstract: This study, , solution of Gaussian Integral with differential equation [18,19]; By using the partial integral method, the indefinite integral solution by taking x under the differential [29,30,31] and the indefinite integral solution by taking the Gaussian integral under the differential [33,38,39] both harmonic series and function solutions are found. Indefinite integral solution of Gaussian Integral [38] In Quantum Physics, the wave function solution f(x,α) in terms of α variable in x position and k space by substituting it in wave function [44,45] and in one-dimensional time dependent Schrodinger equation, wave function equation [66, 67] is found. When the wave function in direct space is differentiated by by the partial integral method without using the approximate value of w(k)[50] in space k, the general wave equation in k space by position [74] and approximately the wave function f(x,α) [80] is found. min in space k depending on location and time the exact solution of the wave equations [83,89] and the Taylor Series solution give the wave equation [87,90] in k space according to position and time.

Keywords: Quantum Algorithms and Quantum Circuits; Gaussian Integral; Derivative (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:jle:joujqt:ktve2239

DOI: 10.70447/ktve.2239

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