Exact energy eigenvalues by summation of thejwkb series |
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Authors: | M Seetharaman S S Vasan S Ravichandran |
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Institution: | (1) Department of Theoretical Physics, University of Madras, Guindy Campus, 600 025 Madras, India;(2) Department of Physics, Loyola College, 600 034 Madras, India |
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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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Keywords: | jwkb corrections" target="_blank">Higher orderjwkb corrections exact energies |
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