Pauli Equation on a Curved Surface and Rashba Splitting on a Corrugated Surface

Abstract

The Schroedinger equation for a spinless charged particle on a curved surface under an electromagnetic field has been obtained by adopting a proper gauge which allows the separation of the on-surface and transverse dynamics. [Phys. Rev. Lett. 100 (2008) 230403] As its extension, I provide the Pauli equation for a charged spin-1/2 particle confined to a curved surface under an electromagnetic field. Energy spectra of a sphere and a corrugated surface to which a particle is confined are given as simple applications of the equation. The energy levels obtained exhibit splittings due to the relativistic effect known as the Rashba effect.

References in corpus (2)

• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Recurrence and differential relations for spherical spinors

Cited by in corpus (5)

• Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
• The geometric potential of a double-frequency corrugated surface
• Quantum mechanics of fermion confined to a curved surface in Foldy-Wouthuysen representation
• Spin-deformation coupling in two-dimensional polar materials
• Electronic Properties and Persistent Spin Currents of Nanospring under Static Magnetic Field