QUASI-CLASSICAL THEORY OF A RELATIVISTIC SPINNING ELECTRON

Journal Article · Thu Nov 01 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.128.1402· OSTI ID:4776873

Schiller, R

The quasi-classical spin theory is a modified Hamilton, Jacobi theory for a classical relativistic dipole whose space-time trajectory is coupled to its spin motion. The equations of this quasi-classical theory are almost identical with the second-order (squared) Dirac equation, and, in fact, form a new WKB approximation to the second,order Dirac equation. We quantize this theory by requiring that a classical spinor wave function'' be continuous and single valued, and that it satisfy an eigenvalue equation. We find for a particle in a uniform magnetic field, and in a Coulomb field, that this quasi-classical theory predicts the same energy and angular momentum eigenvalues as the Dirac theory. The quasi-classical theory is invariant under Lorentz transformation, spin rotations, and charge conjugation. The spinor wave functions are form invariant with respect to arbitrary canonical transformations. (auth)

• Research Organization: Stevens Inst. of Tech., Hoboken, N.J.
• NSA Number: NSA-17-000756
• OSTI ID: 4776873
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 128; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIRAC EQUATIONS
ELECTRIC FIELDS
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY