Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 8, Problem 1P
To determine
The energies of six lowest states if
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a. Consider a particle in a box with length L. Normalize the wave function:
(x) = x(L – x)
b. Consider a particle in a box of length L= 1 for the n= 2 state. Determine which of the two
wave functions is normalized:
v(x) = sin (27x)
%3|
Particle of mass m moves in a three-dimensional box with edge lengths L1, L2, and L3.
(a) Find the energies of the six lowest states if L1 =L, L2 = 2L, and L3 = 2L.
(b) Which if these energies are degenerate?
Seven electrons are trapped in a one-dimensional infinite potential well of width L.What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.
Chapter 8 Solutions
Modern Physics
Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8 - Prob. 1QCh. 8 - Prob. 2QCh. 8 - Prob. 3QCh. 8 - Prob. 4QCh. 8 - Prob. 5QCh. 8 - Prob. 6Q
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 34P
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- Consider an anisotropic 3D harmonic oscillator where we = Wy the energy of the particle in the following state (nx, ny, n₂) = (0, 0, 2)? = w and wz A. 4ħw B. 6hw C. 3ħw D. 2.5ħw = 2w. What isarrow_forwardC. For a particle of mass 9.10938356×10-31 kg scooting back and forth on a wire of length 13×10-10 m, compute it's energy in the n = 9 state. Use: π = 3.14159265359 and h = 1.0545718×10-34 Js. Eg J. D. What is the rule for the number of nodes for a particle-in-a-box state as a function of its quantum number? Number of nodes = On ΟΙ O n-1 On--1arrow_forwardConsider an electron in the first excited state of a one-dimensional infinite square well of length L=1A°. Calculate the force on either wall during an impact by the electron. Answer Choices: a. 0354 CN 6. 0.245 L c. 0.121μN d. 0.482 ANarrow_forward
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