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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Bibliographic Details
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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Summary: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.
ISSN:2100-014X