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Article

Biquaternionic Description of the Schrödinger Equation

Anadolu University, Science Faculty, Department of Physics, 26470 Eskişehir, Turkey
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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

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

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