Question

1. Use the wavefunction of particle on the ring to calculate $\delta \phi = \sqrt{\langle \phi^2 \rangle - \langle \phi \rangle^2}$ Hint: $\langle \phi \rangle = \int_x \phi^* \hat{\phi} \phi \cdot d\tau$ The wavefunction has to be normalized.

          1. Use the wavefunction of particle on the ring to calculate $\delta \phi = \sqrt{\langle \phi^2 \rangle - \langle \phi \rangle^2}$
Hint: $\langle \phi \rangle = \int_x \phi^* \hat{\phi} \phi \cdot d\tau$ The wavefunction has to be normalized.

1. Use the wavefunction of particle on the ring to calculate δϕ = √(⟨ϕ^2 ⟩ - ⟨ϕ⟩^2)
Hint: ⟨ϕ⟩ = ϕ^* ϕ̂ϕ· dτ The wavefunction has to be normalized.

Added by Marc S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/01/2023

Step 1

Step 1: Start with the given wavefunction of a particle on the ring, which is typically represented as φ(θ) = e^(i*n*θ), where n is an integer representing the quantum number. Show more…

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Use the wavefunction of a particle on the ring to calculate δφ = √((φ^(2)) - (φ)^(2)) Hint: (o) = ∫(τ) φ^(*)hat(O)φ*dτ The wavefunction has to be normalized. Could you please write the calculations on paper 1. Use the wavefunction of a particle on the ring to calculate δφ = √(g) - (2) Hint: o = f*Od The wavefunction has to be normalized