Scalar and pseudoscalar charges. [Classical mechanics, linear and angular momentum conservation, P and T invariance]

Journal Article · Thu Jul 01 04:00:00 EDT 1976 · Am. J. Phys.; (United States)

DOI:https://doi.org/10.1119/1.10333· OSTI ID:6878097

Frankel, S

The interaction of a ''scalar'' charge e/sub s/ (even under T) and a ''pseudoscalar'' charge e/sub p/ (odd under T) is investigated in the framework of classical mechanics. It is shown that the most general force consistent with the conservation of linear momentum and angular momentum is F = e/sub s/e/sub p/(r x v)/cr/sup 3/, where c is a constant. This is just Dirac's force between electric and magnetic charges. No use is made of Maxwell's equations. With the single assumption that the forces can be expressed in terms of vector and axial vector fields, exact expressions can be derived for the fields and then for the forces between two scalar and two pseudoscalar charges. These forces, in turn, are found to be identical with those of Coulomb and Biot-Savart. The theory retains P conservation and T invariance in both Newton's laws of motion and the expressions for the fields.

• Research Organization: Univ. of Pennsylvania, Philadelphia
• OSTI ID: 6878097
• Journal Information: Am. J. Phys.; (United States), Journal Name: Am. J. Phys.; (United States) Vol. 44:7; ISSN AJPIA
• Country of Publication: United States
• Language: English

Related Subjects

645302* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CLASSICAL MECHANICS
CONSERVATION LAWS
COULOMB FIELD
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
ELECTRIC CHARGES
ELECTRIC FIELDS
EQUATIONS
EQUATIONS OF MOTION
INTERACTIONS
INVARIANCE PRINCIPLES
LINEAR MOMENTUM
MECHANICS
P INVARIANCE
POTENTIAL SCATTERING
PSEUDOSCALARS
SCALARS
SCATTERING
T INVARIANCE
TENSORS
VECTORS