Title of article :
BIQUATERNIONIC DESCRIPTION OF THE SCHRÖDINGER EQUATION
Author/Authors :
TANIŞLI, Murat Anadolu University - Science Faculty - Department of Physics, Turkey , DEMİR, Süleyman Anadolu University - Science Faculty - Department of Physics, Turkey
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.
Keywords :
Quaternion , Biquaternion , Schrödinger equation , Scalar Aharonov , Bohm (sAB) effect , Aharonov , Casher(AC) effect.
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
