Unformatted text preview: z B B ˆ = r . The Hamiltonian, in matrix form, is − − = ⋅ − = ⋅ − = 1 1 2 B B S B H h r r r r . The eigenstates of H are the same as S z . Namely >= + 1  χ with energy ) ( 2 1 B E h − = + and >= − 1  with energy ) ( 2 1 B E h + = − . The general solution of the timedependent equation t i H ∂ > ∂ >=   h Can be expressed in terms of the stationary states as follows: = > + > >= − + − − − + − + 2 / 2 / / /   ) (  t B i t B i t iE t iE be ae e b e a t h h where a and b are arbitrary complex constants with 1     2 2 = + b a . B S...
View
Full Document
 Spring '07
 FIELDS
 mechanics, Electron, Angular Momentum, Momentum, Magnetic Field, Fundamental physics concepts, R. D. Field

Click to edit the document details