2. Use the uncertainty principle to derive the "zero-point" energy of the 3-D harmonic oscillator with natural frequency .
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Q: 2. Consider a laser producing a train of pulses at λ=1060 nm with duration At, = 50 fs and…
A: 2. Given that- a laser producing a train of pulses at wavelength=1060nm Duration =50fs and…
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A: ψ=23πsin(2x3) is the normalized wavefunction.
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A: In our statistical treatments of quantum systems, we typically neglect any zero point energy
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A: The solution is below with a proper explanation.
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Q: Determine of a particle in a box with the wavefunction sin(2πx/L).
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Q: 5-Given for the hydrogen atom ground state Vr) = e" Find the ground state energy using the trial…
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Q: V100 Show that the wave function of the hydrogen atom satisfies the Schrodinger equation.
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Q: 2. Using the normalization condition, calculate the constant wave function c = (| - 2.
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Q: 4. Show that the canonical ensemble probability 1 P.=ラ follows from maximizing S = -kEp, In p,…
A: The canonical partition function is given as:
Q: 5. Determine of a particle in a box with the wavefunction sin(2x/L).
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Q: Sketch y and |p 2 for the n =4 and n = 5 states of a particle in a one-dimensional box.
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