Reciprocity principle in stochastic quantum mechanics

Conference · Sun Aug 01 04:00:00 EDT 1982 · Hadronic J.; (United States)

OSTI ID:6164729

Brooke, J A; Guz, W; Prugovecki, E

Born's reciprocity theory can be combined with a recently proposed framework for quantum spacetime by requiring that the free test particle propagators obey the Born-Lande equation in addition to the Klein-Gordon equation. If, furthermore, the coordinate transition amplitudes in between various standards are required to be eigenfunctions of Born's metric operator, then a mass formula results which predicts linear dependence on spin of the squared rest mass of elementary particles. This procedure also leads to a guage and reciprocally invariant formulation of the relativistic canonical commutation relations.

• Research Organization: Univ. of Toronto, Ontario
• OSTI ID: 6164729
• Report Number(s): CONF-820136-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 5:5
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
COMMUTATION RELATIONS
ELEMENTARY PARTICLES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MASS
MASS FORMULAE
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
PROPAGATOR
QUANTUM MECHANICS
QUANTUM OPERATORS
REST MASS
SPACE-TIME
SPIN
STOCHASTIC PROCESSES