Biquaternionic Description of the Schrödinger Equation

Mathematical and Computational Applications

TANIŞLI, Murat¹ 

关键词: Quaternion;    Biquaternion;    Schrödinger equation;    Scalar Aharonov-Bohm (sAB) effect;    Aharonov-Casher(AC) effect;   

DOI  :  10.3390/mca17020176

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY