Quantum Scattering on a Cone revisited

Abstract

We revisit the scattering of quantum test particles on the conical $(2+1)$-dimensional spacetime and find the scatteting amplitude as a function of the boundary conditions imposed at the appex of the cone. We show that the boundary condition is responsible for a purely analytical term in the scattering amplitude, in addition to those coming from purely topological effects. Since it is possible to have non-equivalent physical evolutions for the wave packet (each one corresponding to a different boundary condition), it seems crucial to have an observable quantity specifying which evolution has been prescribed.

6 pages, 2 figures. To appear in Phys Rev D

References in corpus (5)

• Quantum Probes of Spacetime Singularities
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics
• Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
• Quantum Singularities Around a Global Monopole
• Quantum Singularities in Static Spacetimes

Cited by in corpus (5)

• Scattering Cross Section and Stability of Global Monopoles
• Particle Production Between Isometric Frames on a Poincaré Patch of ${\text{AdS}}_2$
• Scattering cross-section in gravitating cosmic string spacetimes
• Vacuum fluctuations and the renormalized stress-energy tensor on a cone with arbitrary boundary conditions
• Quantum superposition of boundary condition in ${\mathrm{PAdS}}_2$