Dirac Equation in The Algebra of Physical Space - Second Order Dirac Equation

Second Order Dirac Equation

An application of the Dirac equation on itself leads to the second order Dirac equation


(-\partial \bar{\partial} +
A \bar{A}) \Psi - i( 2e\left\langle A \bar{\partial} \right\rangle_S + eF) \Psi \mathbf{e}_3 = m^2 \Psi

Read more about this topic:  Dirac Equation In The Algebra Of Physical Space

Famous quotes containing the words order and/or equation:

    In order to acquire a growing and lasting respect in society, it is a good thing, if you possess great talent, to give, early in your youth, a very hard kick to the right shin of the society that you love. After that, be a snob.
    Salvador Dali (1904–1989)

    Jail sentences have many functions, but one is surely to send a message about what our society abhors and what it values. This week, the equation was twofold: female infidelity twice as bad as male abuse, the life of a woman half as valuable as that of a man. The killing of the woman taken in adultery has a long history and survives today in many cultures. One of those is our own.
    Anna Quindlen (b. 1952)