Geometry induced potential on a 2D-section of a wormhole: catenoid

Details Geometry induced potential on a 2D-section of a wormhole: catenoid Geometry induced potential on a 2D-section of a wormhole: catenoid

2009-12-11

arxiv.org/abs/0912.2225v1

Physics

Quantum Physics

to appear in Phys.Rev. A

Scientific paper

We show that a two dimensional wormhole geometry is equivalent to a catenoid, a minimal surface. We then obtain the curvature induced geometric potential and show that the ground state with zero energy corresponds to a reflectionless potential. By introducing an appropriate coordinate system we also obtain bound states for different angular momentum channels. Our findings can be realized in suitably bent bilayer graphene sheets with a neck or in a honeycomb lattice with an array of dislocations or in nanoscale waveguides in the shape of a catenoid.

Affiliated with

Also associated with

No associations

Rating

Geometry induced potential on a 2D-section of a wormhole: catenoid does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometry induced potential on a 2D-section of a wormhole: catenoid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry induced potential on a 2D-section of a wormhole: catenoid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-468262