{
  "id": "2101.10117",
  "version": "v1",
  "published": "2021-01-21T23:52:38.000Z",
  "updated": "2021-01-21T23:52:38.000Z",
  "title": "Hamiltonian Formulation of the Pilot-Wave Theory",
  "authors": [
    "Dan N. Vollick"
  ],
  "journal": "Canadian Journal of Physics 97, 431 (2019)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In the pilot-wave theory of quantum mechanics particles have definite positions and velocities and the system evolves deterministically. The velocity of a particle is determined by the wave function of the system (the guidance equation) and the wave function evolves according to Schrodinger's equation. In this paper I first construct a Hamiltonian that gives Schrodinger's equation and the guidance equation for the particle. I then find the Hamiltonian for a relativistic particle in Dirac's theory and for a quantum scalar field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-21T23:52:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pilot-wave theory",
      "hamiltonian formulation",
      "guidance equation",
      "schrodingers equation",
      "quantum scalar field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}