The graphs below represent the probability function of someone-dimensional wave
ID: 684809 • Letter: T
Question
The graphs below represent the probability function of someone-dimensional wave functions. Decide whether or not each wavefunction meets the requirements for a well-behaved and physicallyrealistic wave function. Assume all functions approach zero as xapproaches infinity and have been normalized. Sorry, I had to draw this diagram myself. The x-axisrepresents position, and the y-axis represents probability. I wasable to figure out the rest of the questions, but I wasn't able toget this one. Any help would be appreciated.Explanation / Answer
Wavefunction must be differentiable It is not differentiable at the peak; the derivative does not existat the peak because just to the left the slope is positive, but theslope is negative just to the right. Recall that the second derivative is used in the kinetic energy.You can't really define KE if the first derivative doesn't evenexist
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.