• When a quantum wave function Ψ is complex (with both real and imaginary parts), its probability density is |Ψ|2, where |Ψ| is the absolute value of Ψ defined by Eq. (6.12) as . Prove that |Ψ|2 = Ψ*Ψ where Ψ* is the complex conjugate of z* of any complex number z = x + iy, where x and y are real, is defined as z* = x − iy.)
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