Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-31
Physics
High Energy Physics
High Energy Physics - Theory
7 pages
Scientific paper
We construct a relativistic quantum mechanics for a boson which sustains the positive definite particle probability for the relativistic boson. In this theory, we settle down the well-known 85 years old unsolved problem on the particle probability of the Klein-Gordon quantum mechanics. The solutions for a boson obtained from our theory possess a negative solution as well as a positive one, similar to those of the Dirac quantum mechanics for a fermion. We next study Lorentz transformation, and a vacuum state with all fermion and boson negative energy levels filled and all fermion and boson positive energy levels empty, so that we can have unification of the bosonic sea and the Dirac fermionic one. In this unified sea we investigate the bosonic and fermionic antiparticles associated with the unified vacuum on an equal footing, and we obtain a charge conjugation operator to study decay modes of the particles and antiparticles.
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