Chapter 40: Q. 4 (page 1174)
What is the quantum number of the particle in FIGURE Q? How can you tell?

Short Answer
The quantum number of the particle is.
Chapter 40: Q. 4 (page 1174)
What is the quantum number of the particle in FIGURE Q? How can you tell?

The quantum number of the particle is.
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The energy of an electron in a deep potential well is . At what distance into the classically forbidden region has the amplitude of the wave function decreased to of its value at the edge of the potential well?
For a particle in a finite potential well of width L and depth , what is the ratio of the probability Prob ( in at ) to the probability Prob ( in at)?
Show that the normalization constant for the wave functions of a particle in a rigid box has the value given in Equation 40.26.
The correspondence principle says that the average behavior of a quantum system should begin to look like the Newtonian solution in the limit that the quantum number becomes very large. What is meant by “the average behavior” of a quantum system?
The electrons in a rigid box emit photons of wavelengthduring the transition.
a. What kind of photons are they—infrared, visible, or ultraviolet?
b. How long is the box in which the electrons are confined.
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