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Lettere al Nuovo Cimento (1971-1985)

, Volume 43, Issue 3, pp 145–149 | Cite as

An application of the gradient method to anharmonic oscillators

  • G. Fonte
  • L. Lucaroni
  • G. Schiffrer
Article

Summary

The gradient method, introduced in previous papers as a new method for solving Schrödinger equations, is applied here to compute the first two eigen values and the corresponding eigenfunctions of the Hamiltonians H(β) =p2 +x2 + βx2q, withq = 2, 3, 4 and 10-4 ≤ β ≤ 104. The results, which for smallq are excellent for all β, are compared with those obtained by other authors.

PACS

03.65 Quantum theory quantum mechanics 

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Copyright information

© Società Italiana di Fisica 1985

Authors and Affiliations

  • G. Fonte
    • 1
    • 2
  • L. Lucaroni
    • 3
  • G. Schiffrer
    • 4
    • 5
  1. 1.Dipartimento di Fisica dell’ UniversitàCataniaItalia
  2. 2.Sezione di CataniaIstituto Nazionale di Fisica NucleareItalia
  3. 3.Istituto di Fisica dell’ UniversitàFerraraItalia
  4. 4.Istituto di Fisica dell’ UniversitàFerraraItalia
  5. 5.Sezione di PadovaIstituto Nazionale di Fisica NucleareItalia

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