Quantum dynamics of scalar particles in a spinning cosmic string background with topological defects: a Feshbach–Villars formalism perspective
Year: 2025
Type: article
Abstract: We study the relativistic quantum dynamics of spin-0 particles in the spacetime of a spinning cosmic string that carries both spacelike disclination (conical deficit $$\alpha $$ α ) and screw dislocation (torsion $$J_{z}$$ J z ) together with frame dragging ( $$J_{t}$$ J t ). Using the Feshbach–Villars (FV) reformulation of the Klein–Gordon equation, we obtain a first-order Hamiltonian with a positive-definite density, enabling a clean probabilistic interpretation for bosons in curved/topologically nontrivial backgrounds. In the weak-field regime (retaining terms $$\mathcal {O}(G)$$ O ( G ) and discarding the $$\mathcal {O}(G^{2})$$ O ( G 2 ) contribution that would otherwise lead to (double)-confluent Heun behavior), separation of variables in a finite cylinder of radius $$R_{0}$$ R 0 yields a Bessel radial equation with an effective index $$\nu (\alpha ,J_{t},J_{z};E,k)$$ ν ( α , J t , J z ; E , k ) that mixes rotation and torsion. The hard-wall condition $$J_{\nu }(\kappa R_{0})=0$$ J ν ( κ R 0 ) = 0 quantizes the spectrum, $$\begin{aligned} E_{n}^{2}=m^{2}+k^{2}+\big (j_{\nu ,n}/R_{0}\big )^{2}. \end{aligned}$$ E n 2 = m 2 + k 2 + ( j ν , n / R 0 ) 2 . Working in the stationary positive-energy sector, we derive closed-form normalized eigenfunctions and FV densities, and we evaluate information-theoretic ind
Source: The European Physical Journal C
Authors: Sarra Garah, Abdelmalek Boumali
Institution: Université Larbi Tébessi
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415930151