creeky belly
Posts: 205
Joined: June 2006
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Gravitational force per unit mass on the earth: 5.83x10^-3 N/kg
Electromagnetic force per unit mass on an electron: 1.02x10^21 N/kg
There's no comparison, gravity is just not strong enough to merit a quantum treatment.
| Quote | | Yes, my proof didn't touch on this; it merely justified the scale change. Nor did it address the other three quantum numbers. |
Right, because if you had addressed the three quantum numbers you would have found the classical orbit, and we wouldn't still be having this conversation. Pick any bounded quantum system you'd like, the 10^74 energy level will still be classical.
If you don't believe me, go ahead and compute <r>, <r^2>-<r>^2 for R nl where n is the energy level. This will cause <p^2>-<p>^2 to increase, why? Because classical objects have poorly defined wavelengths.
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