Question

Quantum Mechanics

What are the complex conjugates of the following wavefunctions? (a) Ψ = 4x ³ (b) Ψ = 4 + 3i (c) Ψ = e ^{− iE t ħ/h} (d) Ψ(θ) = e ^iπθ (e) Ψ = i sin (3πx/ 2 )

Answer 1

(a) Ψ = 4x 3:

= 12 Ψ(^{2 -} Ψ^{1 '})

(b) Ψ = 4 + 3i

= 9Ψi ( Ψ i ² + Ψi^{-1 )}

(c) Ψ = e − iE t ħ/h

= e^- = Eh² / h Ψ²

(d) Ψ(θ) = e iπθ

ev/h = ( Ψ ( () 2 )²

(e) Ψ = i sin (3πx/ 2 )

=   Ψ cos Ψ (4nh²) = Ψ