Scalar and pseudoscalar charges
作者:
Sherman Frankel,
期刊:
American Journal of Physics
(AIP Available online 1976)
卷期:
Volume 44,
issue 7
页码: 683-686
ISSN:0002-9505
年代: 1976
DOI:10.1119/1.10333
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
The interaction of a ’’scalar’’ chargees(even underT) and a ’’pseudoscalar’’ chargeep(odd underT) is investigated in the framework of classical mechanics. We show that the most general force consistent with the conservation of linear momentum and angular momentum is F=esep(r×v)/cr3, wherecis 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, we can derive exact expressions 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 retainsPconservation andTinvariance in both Newton’s laws of motion and the expressions for the fields.
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