MadSci Network: Physics
Query:

Re: Angular momentum L=mvr =nh/2pi -units do not match??

Date: Sun Jan 2 00:09:26 2005
Posted By: David Winsemius, M.D.
Area of science: Physics
ID: 1104274902.Ph
Message:

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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