Quantum mechanics on curved 2D systems with electric and magnetic fields

Details Quantum mechanics on curved 2D systems with electric and magnetic fields Quantum mechanics on curved 2D systems with electric and magnetic fields

2008-03-18

arxiv.org/abs/0803.2670v1

Physical Review Letters 100, 230403 (2008)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.100.230403

We derive the Schroedinger equation for a spinless charged particle constrained to a curved surface with electric and magnetics fields applied. The particle is confined on the surface using a thin-layer procedure, giving rise to the well-known geometric potential. The electric and magnetic fields are included via the four-potential. We find that there is no coupling between the fields and the surface curvature and that, with a proper choice of the gauge, the surface and transverse dynamics are exactly separable. Finally, the Hamiltonian for the cylinder, sphere and torus are analytically derived.

Affiliated with

Also associated with

No associations

Rating

Quantum mechanics on curved 2D systems with electric and magnetic fields 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 Quantum mechanics on curved 2D systems with electric and magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum mechanics on curved 2D systems with electric and magnetic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638927