The wavefunction ψ[x] = A x^2 e^(- x/x0) where x0 is a constant, is defined in the region, 0 ≤ x ≤ ∞. (a) Determine the normalization constant, A (b) Using the definition Δx = (⟨x^2⟩ -⟨x⟩^2)^.5 determine Δx (c) Using the momentum operator -(ⅈ (h/2pi))(∂/ ∂x) determine ⟨p⟩ and ⟨p^2⟩ (d) Determine Δp from the results obtained in (c) and evaluate Δx Δp
The wavefunction ψ[x] = A x^2 e^(- x/x0) where x0 is a constant, is defined in the region, 0 ≤ x ≤ ∞. (a) Determine the normalization constant, A (b) Using the definition Δx = (⟨x^2⟩ -⟨x⟩^2)^.5 determine Δx (c) Using the momentum operator -(ⅈ (h/2pi))(∂/ ∂x) determine ⟨p⟩ and ⟨p^2⟩ (d) Determine Δp from the results obtained in (c) and evaluate Δx Δp
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The wavefunction ψ[x] = A x^2 e^(- x/x0) where x0 is a constant, is defined in the region, 0 ≤ x ≤ ∞.
(a) Determine the normalization constant, A
(b) Using the definition Δx = (⟨x^2⟩ -⟨x⟩^2)^.5
determine Δx
(c) Using the momentum operator -(ⅈ (h/2pi))(∂/
∂x)
determine ⟨p⟩ and ⟨p^2⟩
(d) Determine Δp from the results obtained in (c) and evaluate Δx Δp
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