Dynamical Casimir effect with $\delta -{\delta }^{\prime }$ mirrors

Abstract

We calculate the spectrum and the total rate of created particles for a real massless scalar field in $1+1$ dimensions, in the presence of a partially transparent moving mirror simulated by a Dirac $\delta -{\delta }^{\prime }$ point interaction. We show that, for this model, a partially reflecting mirror can produce a larger number of particles in comparison with a perfect one. In the limit of a perfect mirror, our formulas recover those found in the literature for the particle creation by a moving mirror with a Robin boundary condition.

7 pagens; 3 figures

References in corpus (14)

• Current status of the Dynamical Casimir Effect
• The dynamical Casimir effect in superconducting microwave circuits
• A novel experimental approach for the detection of the dynamic Casimir effect
• Hamiltonian approach to the dynamical Casimir effect
• Quantum vacuum energies and Casimir forces between partially transparent $\delta$-function plates
• A Scattering Approach to the Dynamical Casimir Effect
• $\delta -{\delta }^{\prime }$ generalized Robin boundary conditions and quantum vacuum fluctuations
• Electromagnetic semitransparent $\delta$-function plate: Casimir interaction energy between parallel infinitesimally thin plates
• Particle Creation by a Moving Boundary with Robin Boundary Condition
• Field theoretic description of partially reflective surfaces
• Physically Sound Hamiltonian Formulation of the Dynamical Casimir Effect
• Black hole collapse simulated by vacuum fluctuations with a moving semi-transparent mirror
• Inhibition of the dynamical Casimir effect with Robin boundary conditions
• Field theoretic description of electromagnetic boundaries: The Casimir effect between dissimilar mirrors from external potentials

Cited by in corpus (9)

• Dynamical Casimir effect for semitransparent mirrors
• Casimir force between $\delta -{\delta }^{\prime }$ mirrors transparent at high frequencies
• Motion induced by asymmetric excitation of the quantum vacuum
• Non-perturbative Quantum Propagators in Bounded Spaces
• Dynamical Casimir effect enhanced by decreasing the mirror reflectivity
• A Two-Gauge Field Model for Magnetoelectric Boundaries
• Vacuum fluctuation effects due to an Abelian gauge field in 2+1 dimensions, in the presence of moving mirrors
• Propelling force from asymmetrically excited quantum vacuum with conventional mirrors
• Bound States and Resonance Analysis of One-Dimensional Relativistic Parity-Symmetric Two Point Interactions