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Less trouble with orbits: The semi-classical hydrogen problem in parabolic and spherical coordinates
Manfred Bucher
Historically, the eccentricity of Sommerfeld orbits from quantization conditions in either parabolic or spherical coordinates was found to differ in almost all cases. To do the orb…
Rise and fall of the old quantum theory
Manfred Bucher
The old quantum theory of Bohr and Sommerfeld was abandonned for the wrong reason. Its contradictions were caused not by the orbit concept but by a mental barrier--the inconceivabi…
Coulomb oscillations as a remedy for the helium atom
Manfred Bucher
The largest failure of the old, Bohr-Sommerfeld quantum theory was with the helium atom. It brought about the theory's demise. I show that this failure does not originate, as commo…
Coulomb oscillation in the hydrogen atom and molecule ion
Manfred Bucher
Semiclassical oscillation of the electron through the nucleus of the H atom yields both the exact energy and the correct orbital angular momentum for l=0 quantum states. Similarly,…
Bohr model without quantum jumps
Manfred Bucher
Omission of Bohr's second postulate permits a derivation of spectral intensity. The transition amplitudes serve as upper bounds to quantum mechanical matrix elements. They also pro…