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This type of variables often turns up , what is the exact meaning on canonincal?What r the examples?

2006-07-29 00:36:17 · 5 answers · asked by gnparvate 2 in Science & Mathematics Physics

5 answers

In the Hamiltonian form of classical dynamics, canonical conjugates are a pair of cariables which together satisfy Hamilton's equations of motion:
a) dH/dp=dq/dt
b)dH/dq=-dp/dt

eg the Hamiltonian for a simple harmonic oscillator looks like

H=(p^2)/2m +1/2kq^2
(p=momentum and q=displacement from equilibrium, k=spring const, m=mass)
dH/dp=p/m=speed
dH/dq=kq=(negative) of force

2006-07-29 02:49:25 · answer #1 · answered by Benjamin N 4 · 1 0

Canonical means "accepted" or "officially recognised", the closest example I can think of is in chemistry, where electron resonance gives bonds intermediate properties. The canonical form does not show these properties e.g. benzene has 6 of these intermediate bonds, but the canonical form shows 3 double bonds and 3 single bonds, it is considered to be a more traditional representation.

Also, Paul McBride is a dick.

2006-07-29 08:27:19 · answer #2 · answered by Anonymous · 0 0

The letter "r" is not an abbreviation for "are". Are you so pressed for time that you can't spell out this 3 letter word? I kw the ans 2 ur ?
bt I hv rn out of tm.

2006-07-29 07:48:10 · answer #3 · answered by Anonymous · 0 0

complicated factor. research from google and yahoo. it may help!

2014-11-13 23:08:33 · answer #4 · answered by ? 3 · 0 0

KUDOS Paul!!!!!!!

2006-07-29 18:21:06 · answer #5 · answered by Anonymous · 0 0

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