Learning Materials
Features
Discover
Chapter 40: Q. 25 (page 1175)
What is the probability that an electron will tunnel through a gap from a metal to a STM probe if the work function is ?
The probability is
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
For the quantum-well laser of Figure 40.16, estimate the probability that an electron will be found within one of the GaAlAs layers rather than in the GA As layer. Explain your reasoning.
Figure 40.27a modeled a hydrogen atom as a finite potential well with rectangular edges. A more realistic model of a hydrogen atom, although still a one-dimensional model, would be the electron + proton electrostatic potential energy in one dimension:
a. Draw a graph of U(x) versus x. Center your graph at .
b. Despite the divergence at , the Schr枚dinger equation can be solved to find energy levels and wave functions for the electron in this potential. Draw a horizontal line across your graph of part a about one-third of the way from the bottom to the top. Label this line , then, on this line, sketch a plausible graph of the wave function.
c. Redraw your graph of part a and add a horizontal line about two-thirds of the way from the bottom to the top. Label this line , then, on this line, sketch a plausible graph of the wave function.
Show that the constant b used in the quantum-harmonic-oscillator wave functions (a) has units of length and (b) is the classical turning point of an oscillator in the ground state.
Tennis balls traveling faster than routinely bounce off tennis rackets. At some sufficiently high speed, however, the ball will break through the strings and keep going. The racket is a potential-energy barrier whose height is the energy of the slowest string-breaking ball. Suppose that atennis ball traveling at is just sufficient to break the -thick strings. Estimate the probability that a ball will tunnel through the strings without breaking them. Give your answer as a power of rather than a power of.
| FIGURE EX shows the wave function of an electron in a rigid box. The electron energy islocalid="1650137157775" . What is the energy, in localid="1650137162096" , of the next higher state?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine