Naïve Bohr-type quantization for power-law potentials
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DOI: 10.1119/10.0004956
Abstract: The naive Bohr quantization condition mvr = n ℏ is applied to arbitrary spherically symmetric power-law potentials. The dependence of the energy eigenvalues on the principal quantum number n agrees with fully quantum mechanical results… read more here.
Keywords: bohr type; law potentials; power law; quantization ... See more keywords
Maslov index for power-law potentials
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DOI: 10.1134/s0021364017010106
Abstract: The Maslov index in the semiclassical Bohr–Sommerfeld quantization rule is calculated for one-dimensional power-law potentials V (x) = −V0/xs, x > 0, 0 < s < 2 The result for the potential V(x)=-V0/x1/2 is compared… read more here.
Keywords: law potentials; power law; maslov index; power ... See more keywords