Steiljes electrostatic model with imaginary charges resolves   wave-particle duality
  In this paper, we show that the quantum bound state problems are mapped to $N$ point vortices with the identical circulation or strength using the Steiljes electrostatic model with imaginary charges. We also show that these $N$ point charges or vortices, become imaginary, in a constant background field will admit a wave solution under paraxial wave approximation. Therefore, in quantum mechanics as long as paraxial approximation is valid it behaves like a wave. 
K V S Shiv Chaitanya and V Srinivasan
quant-ph