Wormhole as a Waveguide: Case of Quantum Particles with Zero Angular Momentum

TL;DR

This paper studies how a static wormhole can act as a waveguide for quantum particles with zero angular momentum, revealing conditions for perfect transmission related to the particle's wavelength and wormhole geometry.

Contribution

It introduces the concept of a wormhole as a waveguide for quantum particles and identifies specific conditions for full transmission based on wavelength and geometry.

Findings

Waveguide is transparent when de Broglie wavelength is an integer multiple of twice the throat diameter.

Potential realization in graphene, plasmonic, or optical wormholes.

Provides theoretical conditions for quantum particle transmission through wormholes.

Abstract

We consider a static wormhole as a waveguide and determine the conditions for full transmission through the wormhole waveguide for a quantum particle with zero angular momentum. We find that the waveguide is transparent when the de Broglie wavelength of the quantum particle is an integer times twice the throat diameter of the wormhole. Such an effect may be realizable in graphene, plasmonic or optical wormholes.