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Unformatted text preview: 1 > and  2 > is < 1  2 > like the dot product of two vectors 2 1 V V r r < 1  2 > is a complex number The scalar product < 2  1 > is referred to as the overlap between the two states. Norm of a State: The norm of the Ketvector  > is the scalar product of  > with itself <  > like the square of a vector V V r r <  > 0 (positive definite real number) Normalized wavefunctions have <  > = 1 and two wavefunctions are said to be orthogonal if their overlap is zero, < 2  1 > = 0 . An orthonormal set of wavefunctions has the property that ij j i >= <  . KetVector Space:  i > BraVector Space: < i  Dual (Adjoint) Like (x,t)! Like (x,t)!...
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 Spring '07
 FIELDS
 mechanics

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