When applied to a radial potential, this equation predicts a slight difference between the 2-S-one-half and 2-P-one-half orbitals of the hydrogen atom called the Lamb shift.
Solutions to this equation can be found by using the Feynman checkerboard formalism. One mathematical device used to write this equation has commutators equal to two times the metric tensor times the identity matrix; those mathematical devices used to solve this equation can be used to generate the C-L-sub-one-comma-three-R Clifford algebra and a series of namesake bilinear covariants. The plane-wave solutions to this equation have eigenvalues of magnitude equal to the square root of quantity m-squared c to the fourth plus c-squared p-squared. In its covariant form, this equation can be written in terms of its namesake (*) gamma matrices, and it can also be written in terms of a pair of matrices alpha and beta, the latter of which is multiplied by m c squared. When applied to a radial potential, this equation predicts a slight difference between the 2-S-one-half and 2-P-one-half orbitals of the hydrogen atom called the Lamb shift. Its originator developed "hole theory" to explain its negative-energy eigenstates. This equation only applies to spin one-half particles. For 10 points, name this relativistic generalization of the Schrodinger equation used to predict the existence of the positron.
Solutions to this equation can be found by using the Feynman checkerboard formalism.
Dirac equation [do NOT accept “Fermi-Dirac”]