In: Physics
2. Consider two atoms, one described by the state vector |ψ1〉 = A1 |+〉−2A1 |−〉 and the other by |ψ2〉 = A2 |+〉 − A2eiπ/4 |−〉 where A1 and A2 are real constants.
(a) Calculate the constant A1.
(b) Calculate the constant A2.
(c) Calculate 〈ψ1|ψ2〉.
(d) Calculate 〈ψ2|ψ1〉.
(e) Derive a normalized vector |ψ3〉 that is orthogonal to |ψ1〉.