MadSci Network: Physics |
Your question was: h=joules*second QM mvr =kg m/s m =joules*velocity Classical I am unclear where the difficulty lies. Since units for Joules are kg*m^2/sec^2, that means the units of h, Planck's constant, are Joules*sec or kg*(m^2/sec^2)*sec, which simplifies to kg*m^2/sec, which are the units of angular momentum in classical physics. Perhaps there is a problem with the second part of your second equation (kg m/s m =joules*velocity) which I think may have a flaw. That does not look like a correct dimensional identity, since (kg*m^2/sec)*(m/sec) does not "equal" the left side. It sounds as though you may be retracing the steps of Niels Bohr. His picture of circular electron orbits with a requirement that their angular momentum be in integral units of hbar, or h/2pi, created a picture of the hydrogen atom that brought together the concept of quantized photons interacting with quantized electron orbits. The groundwork had been laid by Crookes (Crooke's rays), Hertz (photo-electric effect), Wein (a failed blackbody law), Planck (successful blackbody law and development of Planck's quantum of action), Einstein (quantum explanation of phote-electric effect), and Rutherford (discovery of small dense nuclei). Bohr studied with Rutherford. Rutherford already had a general picture of electrons orbiting the nucleus, but Bohr quantized it successfully. May I recommend reading the Noble lectures of Bohr and Planck? http://nobelprize.org/physics/laureates/1922/bohr-lecture.pdf http://nobelprize.org/physics/laureates/1918/planck-lecture.html These are not extremely technical or mathematical since they were intended to describe major advances in science to a general audience. May I also recommend a relatively new FAQ that I found on the Physics FAQ webpage, http://math.ucr.edu/home/baez/physics/ Warning: This is pretty technical stuff. http://www.mat.univie.ac.at/~neum/physics-faq.txt is a FAQ that Arnold Neumaier has created from some of his answers on the sci.physics.research newsgroup. You can also search MadSci's Archive at: http://www.madsci.org/MS_search.html Best regards; David Winsemius, MD
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