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Unformatted text preview: mechanics (CM), angular momentum L (a vector) is defined as L = r p where vector L = L x i + L y j + L z k , vector r = x i + y j + z k , and vector p = p x i + p y j + p z k . (a) Please show by algebra that the x, y, z components of L are: L x = yp z- zp y ; L y = zp x- xp z ; L z = xp y – yp x . (b) Commutator relations. Given the formula in (a) for L x , L y and L z and the commutator [ x , p x ] = i (in reduced units), please show by commutator algebra that [ L x , L y ] = i L z (in reduced units)....
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This note was uploaded on 03/29/2009 for the course CHEM 113A taught by Professor Lin during the Winter '07 term at UCLA.
- Winter '07
- Quantum Chemistry