Physics – General Physics
Scientific paper
2010-02-27
Applied Physics Research, Vol. 3, No. 2, 160-170 (2011)
Physics
General Physics
13 Latex pages, no figures
Scientific paper
10.5539/apr.v3n2p160
A quaternionic wavefunction consisting of real and scalar functions is found to satisfy the quaternionic momentum eigenvalue equation. Each of these components are found to satisfy a generalized wave equation of the form $\frac{1}{c^2}\frac{\partial^2\psi_0}{\partial t^2} - \nabla^2\psi_0+2(\frac{m_0}{\hbar})\frac{\partial\psi_0}{\partial t}+(\frac{m_0c}{\hbar})^2\psi_0=0$. This reduces to the massless Klein-Gordon equation, if we replace $\frac{\partial}{\partial t}\to\frac{\partial}{\partial t}+\frac{m_0c^2}{\hbar}$. For a plane wave solution the angular frequency is complex and is given by $\vec{\omega}_\pm=i\frac{m_0c^2}{\hbar}\pm c\vec{k} $, where $\vec{k}$ is the propagation constant vector. This equation is in agreement with the Einstein energy-momentum formula. The spin of the particle is obtained from the interaction of the particle with the photon field.
No associations
LandOfFree
The Quaternionic Quantum Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Quaternionic Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Quaternionic Quantum Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-629517