Analysis of contribution of matrix mechanics on quantum mechanics

In this paper the analysis and discussion about the contribution made by matrix mechanics, i.e. the establishment of complex form of quantum mechanics and the proposal of mathematic formalism of uncertainty principle, to the development of quantum mechanics are conducted, thereby to disclose how the...

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Main Author: Ren Zhi
Format: Article
Language:English
Published: EDP Sciences 2025-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2025/17/epjconf_icpms2025_01010.pdf
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author Ren Zhi
author_facet Ren Zhi
author_sort Ren Zhi
collection DOAJ
description In this paper the analysis and discussion about the contribution made by matrix mechanics, i.e. the establishment of complex form of quantum mechanics and the proposal of mathematic formalism of uncertainty principle, to the development of quantum mechanics are conducted, thereby to disclose how the complex functions enter the quantum mechanics by accident and turn to be a must of it. The evolution of mathematic formula, which implies the uncertainty principle, is also outlined to reflect the contribution of three founders of matrix mechanics. Also disclosed is the physical meaning of coordinate matrix in matrix mechanics and its connection to propagator in terms of modern quantum mechanics terminology. This analysis underlines the essentials of quantum mechanics in physics: discontinuous and statistical elementary processes which are the current research hotspot.
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institution Kabale University
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spelling doaj-art-ea73f276f9f6483288ce7623737bebc92025-08-20T03:28:01ZengEDP SciencesEPJ Web of Conferences2100-014X2025-01-013320101010.1051/epjconf/202533201010epjconf_icpms2025_01010Analysis of contribution of matrix mechanics on quantum mechanicsRen Zhi0School of Mathematics, Physics and Statistics, Baise UniversityIn this paper the analysis and discussion about the contribution made by matrix mechanics, i.e. the establishment of complex form of quantum mechanics and the proposal of mathematic formalism of uncertainty principle, to the development of quantum mechanics are conducted, thereby to disclose how the complex functions enter the quantum mechanics by accident and turn to be a must of it. The evolution of mathematic formula, which implies the uncertainty principle, is also outlined to reflect the contribution of three founders of matrix mechanics. Also disclosed is the physical meaning of coordinate matrix in matrix mechanics and its connection to propagator in terms of modern quantum mechanics terminology. This analysis underlines the essentials of quantum mechanics in physics: discontinuous and statistical elementary processes which are the current research hotspot.https://www.epj-conferences.org/articles/epjconf/pdf/2025/17/epjconf_icpms2025_01010.pdf
spellingShingle Ren Zhi
Analysis of contribution of matrix mechanics on quantum mechanics
EPJ Web of Conferences
title Analysis of contribution of matrix mechanics on quantum mechanics
title_full Analysis of contribution of matrix mechanics on quantum mechanics
title_fullStr Analysis of contribution of matrix mechanics on quantum mechanics
title_full_unstemmed Analysis of contribution of matrix mechanics on quantum mechanics
title_short Analysis of contribution of matrix mechanics on quantum mechanics
title_sort analysis of contribution of matrix mechanics on quantum mechanics
url https://www.epj-conferences.org/articles/epjconf/pdf/2025/17/epjconf_icpms2025_01010.pdf
work_keys_str_mv AT renzhi analysisofcontributionofmatrixmechanicsonquantummechanics