Physics for Scientists and Engineers, Vol. 1
Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 35, Problem 22P
To determine

The energy state represented by wave function.

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(2nx sin \1.50. 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 2.00. What is the energy of the system? O 6h?/8m O 4h²/8m O 3h2/8m O none are correct
Harmonic oscillator eigenstates have the general form 1 μω ,1/4 μω AG)(√(-) n ħ In this formula, which part determines the number of nodes in the harmonic oscillator state? = y (x) 1 √(™ ћn 2"n! Holev 1/4 μω 1 2"n! exp(-1022²) 2ħ μω ħ 2"n! exp μω χ 2ħ 2
As a 1-dimensional problem, you have Schrodinger's equation, given by: -h? a2 a ih h 4(x, t) = at 2m Əx² ¥(x,t) + V(x) Þ(x,t) Suppose for a specific V(x) and certain boundary conditions, the function w, (x, t) is a solution to the above equation and 42 (x, t) is also a solution. Show that (x, t) equation, where a, b are complex numbers. a 41 (x, t) + b w2(x, t) also solves the above
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