A Representation of the Wave-Function on 3-Dimensional Space

Abstract

In nonrelativistic Quantum Mechanics (NRQM), the wavefunction is defined on the \(3\mathbf {N}\)-dimensional configuration space. Schrodinger, Lorentz, Einstein, and others, were concerned that it was not an object defined on the 3-dimensional (3D) physical space. So far, the task of representing the wave function as an object defined on the 3-dimensional space could only be achieved partially. Based on ref. Phys. Rev. A 100, 042115, 2019 [1], I describe a fully equivalent representation of the many-particle states as multi-layered fields defined on the 3D physical space. They are shown to evolve locally under Schrodinger’s equation, nonlocality entering only if the wavefunction collapses.