Write the following in Dirac notation: Express the following statements in Dirac notation: (a) Ïa is normalized;

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Write the following in Dirac notation:
!3! ,dr

Express the following statements in Dirac notation:
(a) ψa is normalized;
(b) ψa and ψβ are orthogonal;
(c) ψa is an eigenfunction of z with eigenvalue 1/2;
(d) ψ can be expressed as a linear combination of ψa and ψβ.

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