2. Calculate the probability current density for the following cases (check Lecture 9 for the formula!): a free particle moving in the positive direction of x; a particle in an infinite potential well at the ground state.

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Q: Define, just ify, and provide examples of zero-point energy.

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Q: Define, just ify, and provide examples of zero-point energy.

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Q: A system consists of a pair of qubits A and B with basis states {0), 1)} for qubit A and {10), 1)}…

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Q: energy spectrum continuous or discrete?

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Q: With a value of 1 = 1 and the angular momentum component Ly is known below. If the state operator Ly…

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Q: Discuss the general properties of the eigenstates of the quantum harmonic oscillator.

A: The normalized wave function for the harmonic oscillator is given as, ψnx=mωh2nn!π12e-mωhx2Hnmωhx…

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Q: An electron is trapped in a one-dimensional well with a depth of U=77 eV and a width L=0.360 nm. How…

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Q: 1) Take the derivative of this function to find the force function associated with it. 2)…

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Q: Suppose that there is system with infinite number of discrete energy levels, with energies 0, e, 2e,…

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Q: An electron is trapped in a one-dimensional infinite potential well that is 140 pm wide; the…

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Q: Consider two states |v) and |ø) with the promise that (l) = 0 or 1. Suppose you have the state 10)l)…

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Q: 3. Calculate the reflection coefficient R for the finite potential well and confirm that R+T=1.

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Q: 1. Given the following probability density function: p(x) = Ae-A(x-a)². %3D 2. A particle of mass,…

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Q: Q9: show that SxP+ =¥F %3D Q10: Suppose a particle of spin 1/2 is in the state =*) %3D a) If you…

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