Corpus ID: 236772638

Power-like potentials: from the Bohr-Sommerfeld energies to exact ones

  title={Power-like potentials: from the Bohr-Sommerfeld energies to exact ones},
  author={Juan Carlos del Valle and Alexander V. Turbiner},
Abstract For one-dimensional power-like potentials |x|m,m > 0 the Bohr-Sommerfeld Energies (BSE) extracted explicitly from the Bohr-Sommerfeld quantization condition are compared with the exact energies. It is shown that for the ground state as well as for all positive parity states the BSE are always above the exact ones contrary to the negative parity states where BSE remain above the exact ones for m > 2 but they are below them for m < 2. The ground state BSE as the function of m are of the… Expand

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