Abstract

The Aharonov–Bohm (AB) problem for vector bosons by the Duffin–Kemmer–Petiau (DKP) formalism is analyzed. Depending on the values of the spin projection, the relevant eigenvalue equation coming from the DKP formalism reveals an equivalence to the spin- AB problem. Using a boundary condition at the origin based on the self-adjoint extension method, we study the scattering and bound states problems. Expressions for matrix, phase shift and bound states are obtained.

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