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Solution of the central field problem for a Duffin-Kemmer-Petiau vector boson. (English) Zbl 0816.35145
Summary: In view of current interest in the use of Duffin-Kemmer-Petiau (DKP) relativistic equation, the problem of the vector DKP boson in a central field is resolved and the system of first-order coupled differential radial equations needed for an exact calculation of the eigenvalues as well as the full ten-component spinor is derived. This is of practical importance for problems involving massive vector bosons in central fields. This formalism is applied to the free-particle, spherically symmetric square well and Coulomb problems.

MSC:
35Q75 PDEs in connection with relativity and gravitational theory
81V25 Other elementary particle theory in quantum theory
83A05 Special relativity
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