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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2012, 17(2), 176-181;

Biquaternionic Description of the Schrödinger Equation

Anadolu University, Science Faculty, Department of Physics, 26470 Eskişehir, Turkey
Authors to whom correspondence should be addressed.
Published: 1 August 2012
PDF [154 KB, uploaded 14 March 2016]


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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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TANIŞLI, M.; DEMİR, S. Biquaternionic Description of the Schrödinger Equation. Math. Comput. Appl. 2012, 17, 176-181.

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