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Higher orderjwkb corrections; exact energies

For the potentialV(x)=V₀ tan²x, 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.

M Seetharaman¹ S S Vasan¹ S Ravichandran^{1 2}

1. Department of Theoretical Physics, University of Madras, Guindy Campus, Madras - 600 025, India
2. Department of Physics, Loyola College, Madras - 600 034, India

Published

May 1985

Manuscript received

27 October 1984