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Unformatted text preview: ) can be represented as a Taylor series. (c). Hence, show that [ L z , V ( R )] = 0, where V ( R ) is some function of R . (d). Show that [ L 2 , V ( R )] = 0. 1 6. Shankar, exercise (12.3.8), parts (1) and (3) only. Note that this is a two-dimensional problem with a magnetic feld perpendicular to the XY plane. This problem uses the Fact that the Hamiltonian For a particle in a static magnetic feld is H = ( p-q A /c ) 2 / (2 m ), where p is the canonical momentum and A is the vector potential. You do not have to prove this Fact, but, iF you are interested, you can read the prooF in Shankar, pp. 90-91; I will also discuss it later in the year. 2...
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