Biquaternionic description of the Schrödinger equation

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TANIŞLI M., DEMİR S.

Mathematical and Computational Applications, vol.17, no.2, pp.176-181, 2012 (Scopus, TRDizin)

• Publication Type: Article / Article
• Volume: 17 Issue: 2
• Publication Date: 2012
• Doi Number: 10.3390/mca17020176
• Journal Name: Mathematical and Computational Applications
• Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.176-181
• Keywords: Aharonov-Casher(AC) effect, Biquaternion, Quaternion, Scalar Aharonov-Bohm (sAB) effect, Schrödinger equation
• Open Archive Collection: AVESIS Open Access Collection
• Anadolu University Affiliated: Yes

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.