TRANSFORMATION GROUPS AND DIRAC EQUATION SOLUTIONS

Journal Article · Mon Jun 01 04:00:00 EDT 1959 · Journal de Physique et le Radium (France) Changed to J. Phys. (Orsay, Fr.)

OSTI ID:4217376

Tzou, K H

By considering the transformation groups as simple substitutions of variables e, r, t, it is shown that, from a given solution of Dirac's equations, the symmetry group G (composed of P, T, C, and combinations) and the proper or continuous Lorentz group L can generate all solutions of these equations satisfying the same physical conditions as does the original solution, if G and L are entirely applicable. Identification of the solutions produced proceeds according to certain rules depending upon the constants of motion of the problem considered. Two examples are studied for illustration, the monochromatic plane wave and the central field problem. The identification is further stated precisely concerning the two spin values. All states of an electron are thus connected one to another by the groups G and L. The behavior of the solutions under space reflection is studied. Finally, a general solution is constructed, which is invariant against the operations of the groups G and L, and one can express In this way the usual procedure of Fourier expansion according to the group concept. Some remarks have been made on possible solutions invariant against C, CP, and CPT. (auth)

• Research Organization: Institut Henri-Poincare, Paris
• NSA Number: NSA-13-018587
• OSTI ID: 4217376
• Journal Information: Journal de Physique et le Radium (France) Changed to J. Phys. (Orsay, Fr.), Journal Name: Journal de Physique et le Radium (France) Changed to J. Phys. (Orsay, Fr.) Vol. Vol: 20; ISSN JPAAA
• Country of Publication: Country unknown/Code not available
• Language: French

Related Subjects

BEHAVIOR
CONFIGURATION
DIRAC EQUATIONS
ELECTRIC CHARGES
ELECTRONS
GROUP THEORY
INVARIANCE PRINCIPLE
IONS
MATHEMATICS
MOTION
PARITY
PHYSICS AND MATHEMATICS
QUANTUM MECHANICS
REFLECTION
REGENERATION
RELATIVITY THEORY
SPIN
SYMMETRY