Triangular potential and one-dimensional wave packet in quaternionic quantum mechanics

A quaternion is an interesting concept that extends complex numbers to 4-D. This paper is about using quaternions to represent triangular potential and wave packets in one-dimension. Using, wave packets in one-dimension and anti-hermitian operators results are obtained in quaternionic form including expectation values of position, momentum and energy.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2026-02-19
DOI
https://doi.org/10.1142/s0219887826501781
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Triangular potential and one-dimensional wave packet in quaternionic quantum mechanics

R. Deepika, K. Muthunagai
International Journal of Geometric Methods in Modern Physics
Algebraic and Geometric Analysis
article

Triangular potential and one-dimensional wave packet in quaternionic quantum mechanics

R. Deepika, K. Muthunagai
article en

Abstract

A quaternion is an interesting concept that extends complex numbers to 4-D. This paper is about using quaternions to represent triangular potential and wave packets in one-dimension. Using, wave packets in one-dimension and anti-hermitian operators results are obtained in quaternionic form including expectation values of position, momentum and energy.

International Journal of Geometric Methods in Modern Physics
Vels University (IN)
Openalex Percentile: Top 47%
Algebraic and Geometric Analysis
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Triangular potential and one-dimensional wave packet in quaternionic quantum mechanics — R. Deepika, K. Muthunagai · International Journal of Geometric Methods in Modern Physics (2026) | TGRS Research Map | TGRS