Abstract
For the potentialV(x)=V 0 tan2 x, the corrections to the lowest orderjwkb (Bohr-Sommerfeld) energy quantization rule are non-zero. These higher order corrections are explicitly computed using the formalism of Dunham. The resultingjwkb series for the energy eigenvalues is summable, and yields the exact bound state spectrum.
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References
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Gol’dman I I, Krivchenkov V D, Kogan V I and Galitskii 1956Problems in quantum mechanics (London: Infosearch)
Landau L D and Lifshitz E M 1977Quantum mechanics 3rd edn (Oxford: Pergamon)
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Seetharaman, M., Vasan, S.S. & Ravichandran, S. Exact energy eigenvalues by summation of thejwkb series. Pramana - J Phys 24, 695–699 (1985). https://doi.org/10.1007/BF02846788
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DOI: https://doi.org/10.1007/BF02846788