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Article

Biquaternionic Description of the Schrödinger Equation

by
Murat TANIŞLI
* and
Süleyman DEMİR
*
Anadolu University, Science Faculty, Department of Physics, 26470 Eskişehir, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2012, 17(2), 176-181; https://doi.org/10.3390/mca17020176
Published: 1 August 2012
Versions Notes

Abstract

This paper begins with the introduction of biquaternion algebra and its properties in compact, profound and comprehensible approach. The Schrödinger equation including both the scalar Aharonov-Bohm(sAB) and Aharonov-Casher(AC) effects, that are currently popular in particle physics and condensed-matter physics, has been re-written by biquaternions. The newly biquaternionic Schrödinger equation, which is defined with various assumptions and approaches, also includes the biquaternionic generalized momentum in Hamiltonian.
Keywords: Quaternion; Biquaternion; Schrödinger equation; Scalar Aharonov-Bohm (sAB) effect; Aharonov-Casher(AC) effect Quaternion; Biquaternion; Schrödinger equation; Scalar Aharonov-Bohm (sAB) effect; Aharonov-Casher(AC) effect

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MDPI and ACS Style

TANIŞLI, M.; DEMİR, S. Biquaternionic Description of the Schrödinger Equation. Math. Comput. Appl. 2012, 17, 176-181. https://doi.org/10.3390/mca17020176

AMA Style

TANIŞLI M, DEMİR S. Biquaternionic Description of the Schrödinger Equation. Mathematical and Computational Applications. 2012; 17(2):176-181. https://doi.org/10.3390/mca17020176

Chicago/Turabian Style

TANIŞLI, Murat, and Süleyman DEMİR. 2012. "Biquaternionic Description of the Schrödinger Equation" Mathematical and Computational Applications 17, no. 2: 176-181. https://doi.org/10.3390/mca17020176

APA Style

TANIŞLI, M., & DEMİR, S. (2012). Biquaternionic Description of the Schrödinger Equation. Mathematical and Computational Applications, 17(2), 176-181. https://doi.org/10.3390/mca17020176

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