Question

quantum physics:

Considera particle in the ground state of an infinite square well
where the left half of the well rises at a linear rate to a
potential of V0in a time t, and then falls back at a linear rate in
a time t. What is the probability that the particle is now in the
first excited state?

Answer #1

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Considera particle in the ground state of an infinite
square well where the left half of the well rises at a linear rate
to a potential of V0in a time τ, and then falls back at a
linear rate in a time τ. What is the probability that the
particle is now in the first excited state?

A particle is in the ground state of an infinite square well.
The potential wall at x = L suddenly (i.e., instantaneously) moves
to x = 3L. such that the well is now three times its original size.
(a) Let t = 0 be at the instant of the sudden change in the
potential well. What is ψ(x, 0)?
(b) If you measure the energy of the particle in the new well,
what are the possible energies?
(c) Estimate the...

A particle in an infinite well is in the ground state with an
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(n = 6)? The seventh excited state
(n = 8)?
fifth excited state
eV
seventh excited state
eV

An electron is in the 4th excited state within a bound infinite
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a) Determine the width of the well.
b) Sketch the probability distribution of finding the electron
in the n = 4 state, indicating where the most likely positions the
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For the infinite square-well potential, find the probability
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(0 ≤ x ≤ L/3)
(L/3 ≤ x ≤ 2L/3)
(2L/3 ≤ x ≤ L)

For the infinite square-well potential, find the probability
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a) (0 ≤ x ≤ L/3)
b) (L/3 ≤ x ≤ 2L/3)
c) (2L/3 ≤ x ≤ L)

Quantum mechanics:
Consider a particle initially in the ground state of the
one-dimensional simple harmonic oscillator. A uniform electric
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off again. What is the probability of transition to the first
excited state?

Quantum mechanics problem: Consider a particle
initially in the ground state of the one-dimensional simple
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Show that the wave function of a particle in the infinite square
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(a) What wavelength of electromagnetic radiation would be needed
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(b) What is the width of the square well? nm

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