**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 . [1](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 . [1](b) Commutator relations. Given the formula in [1](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)....

View
Full Document

- Winter '07
- Lin
- Quantum Chemistry,