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Semiclassical quantization

Using your results above, n, the number of de Broglie wavelengths tex2html_wrap_inline520 which fit in the circumference an orbit of radius r. that

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If we assume that to avoid destructive interference that n must be a natural number tex2html_wrap_inline528 , then this result tells you the allowed radii for the orbits of the mass m. Under the same assumption, determine the allowed momenta p and the allowed energies E for the particle.

Hint: You should find that the allowed energies are

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where tex2html_wrap_inline538 .



Prof. Tomas Alberto Arias
Thu Feb 20 10:59:50 EST 1997