Vortex Lattices in Quantum Mechanics

Abstract

Vortex lattices are constructed in terms of linear combinations of solutions for Scrödinger equation with a constant potential. The vortex lattices are mapped on the spaces with two-dimensional rotationally symmetric potentials by using conformal mappings and the differences of the mapped vortex-patterns are examined. The existence of vortex dipole and quadrupole is also pointed out.

13 pages

References in corpus (1)

• Zero Energy Solutions and Vortices in Schroedinger Equations

Cited by in corpus (5)

• Zero Energy Solutions and Vortices in Schroedinger Equations
• Non-Hermitian Hamiltonian versus E=0 localized states
• Exact solutions of a spin-orbit coupling model in two-dimensional central-potentials and quantum-classical correspondence
• Rotational Symmetry of Classical Orbits, Arbitrary Quantization of Angular Momentum and the Role of Gauge Field in Two-Dimensional Space
• Zero-Energy Flows and Vortex Patterns in Quantum Mechanics