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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… Click to show full 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 either exactly (for the hydrogen atom, the harmonic oscillator, and the infinite square well) or asymptotically (the linear potential). This naive treatment can be used in precalculus, high-school, or “quantum theory for poets” expositions.
Keywords:
bohr type;
law potentials;
power law;
quantization
Journal Title: American Journal of Physics
Year Published: 2021
Link to full text (if available)
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Journal Title: American Journal of Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!