Hilbert space representations for Hermitian position-deformed Heisenberg algebra and Path integral formulation

Thomas Katsekpor; Latévi M. Lawson; Prince K. Osei; Ibrahim Nonkané

doi:10.1142/s0129055x25500254

August 25, 2025Reviews in Mathematical Physics

Hilbert space representations for Hermitian position-deformed Heisenberg algebra and Path integral formulation

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Key Points

The study reveals novel representations of the hermitian position-deformed Heisenberg algebra in Hilbert space, broadening theoretical implications in quantum mechanics.
Key evidence includes successful application of path integral formulations using the proposed methods, highlighting new mathematical structures.
Approach involved developing a theoretical framework that integrates aspects of Hilbert space and quantum algebra to derive coherent representations.
Significance underscores potential advancements in quantum physics, which could reshape our understanding of fundamental physical principles.

Implication

Analysis demonstrates hermitian representations in Hilbert space for heisenberg algebra, suggesting novel insights into path integral formulations.

Abstract

Reviews in Mathematical PhysicsAccepted Papers No AccessHilbert space representations for Hermitian position-deformed Heisenberg algebra and Path integral formulationThomas Katsekpor, Latevi M. Lawson, Prince K. Osei, and Ibrahim NonkaneThomas Katsekpor, Latevi M. Lawson Search for more papers by this author , Prince K. Osei Search for more papers by this author , and Ibrahim Nonkane Search for more papers by this author https://doi.org/10.1142/S0129055X25500254Cited by:0 (Source: Crossref) PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail FiguresReferencesRelatedDetails Recommended Accepted Papers Metrics History Received 21 May 2024 Accepted 18 July 2025 PDF download

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Katsekpor et al. (2025) studied this question.

synapsesocial.com/papers/68af5f19ad7bf08b1eae2268 https://doi.org/10.1142/s0129055x25500254

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Hilbert space representations for Hermitian position-deformed Heisenberg algebra and Path integral formulation

Key Points

Implication

Abstract

Discussion

Cite This Study

Hilbert space representations for Hermitian position-deformed Heisenberg algebra and Path integral formulation

Key Points

Implication

Abstract

Discussion

Cite This Study

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