Biquaternionic description of the Schrödinger equation
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.