A particle is described by the normalized wave function(x,y,z)... | Filo
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8 months ago
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A particle wave function is given by the equation ψ (𝐱) = 𝐀 𝑒^−𝑎𝑥^2. (A) What is the value of A if this wave function is normalized? (B) What is the expectation value of x for this particle?
A particle wave function is given by the equation ψ (𝐱) = 𝐀 𝑒^−ð…
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4 find the expectation value of position and momentum of a particle whose wave function is x2 a2 ikx yx in all space calculate the expectation value of position and momentum 20 42011
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The normalized ground-state wavefunction of a hydrogen atom is .…
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The Schrödinger equation for a particle of mass m constrained to move on a circle of radius a is -(ħ^2)/(2 I) (d^2 ψ)/(d θ^2)=E ψ(θ) 0 ≤θ≤2 πwhere I=m a^2 is the moment of inertia and θis the angle that describes the position of the particle around the ring. Show by direct substitution that the solutions to this equation are ψ(θ)=A e^i n θ. where n=±(2 I E)^1 / 2 / ħ. Argue that the appropriate boundary condition is ψ(θ)=ψ(θ 2 π) and use this condition to show that E=(n^2 ħ^2)/(2 I) n=0,±1,
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