Griffiths Quantum Mechanics Quiz

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Griffiths QM basics quiz

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Nicolas Andreas Liu

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Froggy Jumps Griffiths Quantum Mechanics QuizVersión en línea Griffiths QM basics quiz por Nicolas Andreas Liu 1 In Griffiths QM, what object represents the state of a system in bra-ket notation? a ψ(x,t) b ⟨ψ\| c \|ψ⟩ 2 Which equation governs the time evolution of a quantum state? a F = ma b iħ ∂\|ψ⟩/∂t = H\|ψ⟩ c d/dt H = 0 3 What is the canonical commutation relation between position and momentum? a [x,p] = -iħ b [x,p] = iħ c [x,p] = 0 4 Eigenstates of S_z correspond to which eigenvalues? a 0 b ±ħ/2 c ±ħ 5 What happens to the system after a precise measurement of an observable? a The state collapses to an eigenstate of that observable b It becomes a random superposition c It becomes completely classical 6 What is the expectation value formula for an operator A in state \|ψ⟩? a ⟨A⟩ = ⟨ψ\|A\|ψ⟩^2 b ⟨A⟩ = ⟨ψ\|A\|ψ⟩ c ⟨A⟩ = ⟨ψ\|A\|ψ⟩^0 7 What is the first-order energy shift in non-degenerate perturbation theory? a ΔE_n^(1) = 0 b ΔE_n^(1) = ⟨n\|V\|n⟩ c ΔE_n^(1) = ⟨n\|V\|m⟩ 8 What is the uncertainty relation between Δx and Δp? a Δx Δp ≥ ħ b Δx Δp ≤ ħ/2 c Δx Δp ≥ ħ/2 9 What normalization condition does the wavefunction satisfy? a ∫\|ψ\|^2 dx = ∞ b ⟨ψ\|ψ⟩ = 1 c ∫\|ψ\|^2 dx = 0 10 Which matrices represent spin components in QM? a I, σ_y, σ_z b σ_x, σ_y, σ_z c τ_x, τ_y, τ_z

Froggy Jumps

Griffiths Quantum Mechanics QuizVersión en línea

Griffiths QM basics quiz

por Nicolas Andreas Liu

In Griffiths QM, what object represents the state of a system in bra-ket notation?

ψ(x,t)

⟨ψ|

|ψ⟩

Which equation governs the time evolution of a quantum state?

F = ma

iħ ∂|ψ⟩/∂t = H|ψ⟩

d/dt H = 0

What is the canonical commutation relation between position and momentum?

[x,p] = -iħ

[x,p] = iħ

[x,p] = 0

Eigenstates of S_z correspond to which eigenvalues?

±ħ/2

±ħ

What happens to the system after a precise measurement of an observable?

The state collapses to an eigenstate of that observable

It becomes a random superposition

It becomes completely classical

What is the expectation value formula for an operator A in state |ψ⟩?

⟨A⟩ = ⟨ψ|A|ψ⟩^2

⟨A⟩ = ⟨ψ|A|ψ⟩

⟨A⟩ = ⟨ψ|A|ψ⟩^0

What is the first-order energy shift in non-degenerate perturbation theory?

ΔE_n^(1) = 0

ΔE_n^(1) = ⟨n|V|n⟩

ΔE_n^(1) = ⟨n|V|m⟩

What is the uncertainty relation between Δx and Δp?

Δx Δp ≥ ħ

Δx Δp ≤ ħ/2

Δx Δp ≥ ħ/2

What normalization condition does the wavefunction satisfy?

∫|ψ|^2 dx = ∞

⟨ψ|ψ⟩ = 1

∫|ψ|^2 dx = 0

Which matrices represent spin components in QM?

I, σ_y, σ_z

σ_x, σ_y, σ_z

τ_x, τ_y, τ_z

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Griffiths Quantum Mechanics Quiz

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Griffiths Quantum Mechanics QuizVersión en línea

por Nicolas Andreas Liu

In Griffiths QM, what object represents the state of a system in bra-ket notation?

Which equation governs the time evolution of a quantum state?

What is the canonical commutation relation between position and momentum?

Eigenstates of S_z correspond to which eigenvalues?

What happens to the system after a precise measurement of an observable?

What is the expectation value formula for an operator A in state |ψ⟩?

What is the first-order energy shift in non-degenerate perturbation theory?

What is the uncertainty relation between Δx and Δp?

What normalization condition does the wavefunction satisfy?

Which matrices represent spin components in QM?

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