{
  "id": "math-ph/0007002",
  "version": "v1",
  "published": "2000-07-03T09:30:03.000Z",
  "updated": "2000-07-03T09:30:03.000Z",
  "title": "Is Schroedinger equation consistent with information theory?",
  "authors": [
    "R. P. Venkataraman"
  ],
  "comment": "8 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is shown that Schroedinger equation is not consistent with information theory. From the modified form of information which ensures that the most probable density function it yields tallies with a general form of continuous Riemann integrable density function that has real or imaginary zeros or singularities at end points of $[a,b] \\epsilon R$, a new variational formulation for quantum mechanics is proposed that yields a system of Euler-Lagrange equations that are non-linear. It is proved that the solutions of this system are unique, orthonormal and complete. One dimensional harmonic oscillator has been solved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-03T09:30:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schroedinger equation consistent",
      "information theory",
      "dimensional harmonic oscillator",
      "continuous riemann integrable density function",
      "imaginary zeros"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 530134,
      "adsabs": "2000math.ph...7002V"
    }
  }
}