Multi-valued vortex solutions to the Schrödinger equation and radiation

DOI10.1016/j.aop.2020.168196zbMath1435.81009arXiv1911.00499OpenAlexW3104878099MaRDI QIDQ778508

D. Kharzeev

Publication date: 2 July 2020

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00499

zbMATH Keywords

radiationAharonov-Bohm effectmulti-valuedquantum vortex

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (1)

Geometric phase of quantum wave function and singularities of Bohm dynamics in a one-dimensional system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of the Fenyes - Nelson stochastic model of quantum mechanics
• Quantum wave equations and non-radiating electromagnetic sources
• Quantum field theory and the Jones polynomial
• On the time-dependent Aharonov-Bohm effect
• Self-adjointness and spectral properties of Dirac operators with magnetic links
• Über das Geschlecht von Knoten
• On the initial value problem for the Madelung hydrodynamic equations
• Direct calculation of time varying Aharonov-Bohm effect
• The covariant, time-dependent Aharonov-Bohm effect
• Radiation-reaction in classical off-shell electrodynamics. I. The above mass-shell case
• The Jones polynomial for fluid knots from helicity
• On the equivalence of quantum mechanics and a certain class of Markov processes
• Maxwell’s theory of solid angle and the construction of knotted fields
• Significance of Electromagnetic Potentials in the Quantum Theory
• The Stochastic Mechanics of the Pauli Equation
• Structure and stability of solutions of the Euler equations: a lagrangian approach
• On Knots. (AM-115)
• Helicity and the Călugăreanu invariant
• Some useful properties of a theory of variable mass particles
• Quantised singularities in the electromagnetic field,
• Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime
• A Finite-Energy Bound on the Approach of a Diffusion to the Zeros of its Density
• Electromagnetic Theory and Computation
• Stokes' theorem, gauge symmetry and the time-dependent Aharonov-Bohm effect
• Vortex Dynamics
• The degree of knottedness of tangled vortex lines
• Single Valuedness of Wave Functions
• The Theory of Magnetic Poles
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

This page was built for publication: Multi-valued vortex solutions to the Schrödinger equation and radiation