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Unformatted text preview: = x y y x i L op z h ) ( and where I used L + + + = + + + = + + x z y x x z y x z y x x z y x z y x z y x y x y x y y x ) , , ( ) , , ( ) , , ( ) , , ( ) , , ( ) , , ( with x = z y and y = - z x. Thus, (L z ) op is the generator of rotations about the z-axis and op z z i L z e R U ) ( ) ( h = and op z z i op y y i op x x i L L L e e e R U ) ( ) ( ) ( ) ( h h h = . The rotation operator U(R) is unitary since the generators (L i ) op are hermitian. x-axis z physical system physical system ' y-axis x-axis z physical system ' y-axis x'-axis y'-axis...
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This note was uploaded on 05/29/2011 for the course PHY 4064 taught by Professor Fields during the Spring '07 term at University of Florida.
- Spring '07