This preview shows page 1. Sign up to view the full content.
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 Ket-vector | > 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 >= < | . Ket-Vector Space: | i > Bra-Vector Space: < i | Dual (Adjoint) Like (x,t)! Like (x,t)!...
View Full Document
- Spring '07