Biquaternionic description of the Schrödinger equation
Mathematical and Computational Applications, cilt.17, sa.2, ss.176-181, 2012 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.3390/mca17020176
- Dergi Adı: Mathematical and Computational Applications
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.176-181
- Anahtar Kelimeler: Aharonov-Casher(AC) effect, Biquaternion, Quaternion, Scalar Aharonov-Bohm (sAB) effect, Schrödinger equation
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Anadolu Üniversitesi Adresli: Evet
Özet
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.