HILBERT SPACES AND THEIR APPLICATIONS IN QUANTUM MECHANICS

This paper explores the concept of Hilbert spaces and their applications in quantum mechanics. First, the definition and properties of Hilbert spaces are analyzed, followed by an explanation of their use in quantum mechanics. Additionally, fundamental concepts of quantum mechanics, including wave functions and expectation value operators, are described in terms of Hilbert spaces. The paper also presents mathematical solutions to key applications of Hilbert spaces in quantum mechanics.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-01-26
DOI
https://doi.org/10.5281/zenodo.14930665
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

HILBERT SPACES AND THEIR APPLICATIONS IN QUANTUM MECHANICS

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

HILBERT SPACES AND THEIR APPLICATIONS IN QUANTUM MECHANICS

article en

Abstract

This paper explores the concept of Hilbert spaces and their applications in quantum mechanics. First, the definition and properties of Hilbert spaces are analyzed, followed by an explanation of their use in quantum mechanics. Additionally, fundamental concepts of quantum mechanics, including wave functions and expectation value operators, are described in terms of Hilbert spaces. The paper also presents mathematical solutions to key applications of Hilbert spaces in quantum mechanics.

Zenodo (CERN European Organization for Nuclear Research)
National University of Uzbekistan (UZ)
Openalex Percentile: Top 57%
Quantum Mechanics and Applications
DOIOpen Access PDFOpenAlex
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HILBERT SPACES AND THEIR APPLICATIONS IN QUANTUM MECHANICS · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS