Paraquantum strings in noncommutative space–time

Abstract

A parabosonic string is assumed to propagate in a total noncommutative target phase space. Three models are investigated: open strings, open strings between two parallel [Formula: see text] branes and closed ones. This leads to a generalization of the oscillators algebra of the string and the corresponding Virasoro algebra. The mass operator is no more diagonal in the ordinary Fock space, a redefinition of this later will modify the mass spectrum, so that, neither massless vector state nor massless tensor state are present. The restoration of the photon and the graviton imposes specific forms of the noncommutativity parameter matrices, partially removes the mass degeneracy and gives new additional ones. In particular, for the [Formula: see text]-branes, one can have a tachyon free model with a photon state when more strict conditions on these parameters are imposed, while, the match level condition of the closed string model induces the reduction of the spectrum.

Solutions of the Schrödinger equation for pseudo-Coulomb potential plus a new improved ring-shaped potential in the cosmic string space–time

“…Therefore, the present of the angular deficit parameter defines the curvature of the spacetime [18] and thus leads to the shift of the energy levels. The topological effect may cause changes in the gravitational field which invariably causes a change in the corresponding wave functions and energy levels .Finally, our result may find many applications in different fields of physics [29][30][31] Appendix A The NU method solves many linear second order differential equations by reducing them to a generalized equation of hypergeometric type. Here, instead of the original formulation, we use the parametric version which enables us to solve a second-order differential equation of the form [22][23]25,26] ( )…”