{
  "id": "0911.0347",
  "version": "v1",
  "published": "2009-11-02T16:50:45.000Z",
  "updated": "2009-11-02T16:50:45.000Z",
  "title": "Quantum mechanics in the general quantum systems (V): Hamiltonian eigenvalues",
  "authors": [
    "Zhou Li",
    "An Min Wang"
  ],
  "comment": "18 pages, No figure. This is the fifth manuscript. Previous manuscripts see arXiv:quant-ph/0611216, arXiv:quant-ph/0611217, arXiv:quant-ph/0601051 and arXiv:quant-ph/0612068",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "physics.atom-ph"
  ],
  "abstract": "We derive out a complete series expression of Hamiltonian eigenvalues without any approximation and cut in the general quantum systems based on Wang's formal framework \\cite{wang1}. In particular, we then propose a calculating approach of eigenvalues of arbitrary Hamiltonian via solving an algebra equation satisfied by a kernal function, which involves the contributions from all order perturbations. In order to verify the validity of our expressions and reveal the power of our approach, we calculate the ground state energy of a quartic anharmonic oscillator and have obtained good enough results comparing with the known one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-02T16:50:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general quantum systems",
      "hamiltonian eigenvalues",
      "quantum mechanics",
      "complete series expression",
      "quartic anharmonic oscillator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0347L"
    }
  }
}