Scalar-Scalar Bound State in Non-commutative Space
نویسنده
چکیده
Bethe-Salpeter equation in the non-commutative space for a scalarscalar bound state is considered. It is shown that in the non-relativistic limit, the effect of spatial non-commutativity appears as if there exist a magnetic dipole moment coupled to each particle. e-mail: [email protected] e-mail: [email protected] Non-commutativity of space-time has been recently a subject of intense interest both in quantum mechanics and quantum field theory [1]-[6]. In this paper, we would like to study the effects of such a non-commutativity on the spectra of the bound state of two scalar particles. Bethe-Salpeter (BS) equation [7, 8] is the usual tool for computing, for instance, the electromagnetic form factors and relativistic spectra of two body bound states. In the following analysis we examine scalar-scalar bound state spectra. The BS equation for two scalar particles is
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