find the ratio of the probability of the oscillator being in the first excited state to the probability of it being in the ground state. b) assuming that only the ground state and the first excited state are appreciably occupied, find the mean energy of the oscillator as a function of the temperature.

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23-11-2022
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find the ratio of the probability of the oscillator being in the first excited state to the probability of it being in the ground state. b) assuming that only the ground state and the first excited state are appreciably occupied, find the mean energy of the oscillator as a function of the temperature.

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charithran8975 charithran8975 · Answer 1 · 2022-11-26T00:40:59-05:00

The probability of finding a ground-state quantum particle in the classically forbidden region is about 16%

The angular frequency ω, period T and frequency f of a simple harmonic oscillator are given by ω=√km, T = 2π√mk and f = 12π√km, where m is the mass of the system and k is the energy. A constant second excited state is equal to equal, second order polynomial multiplying the same Gaussian. is equal to the number of zeros of the wavefunction. If a particle in the ASSESS box is in the n = 1 ground state, the probability of finding it in the middle half of the box is 81.8%. The probability is greater than 50% because, as you can see in Figure 41.10, the probability density P(x) is larger in the center of the box than near the boundaries.

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