td21
Mar2-11, 05:18 AM
1. The problem statement, all variables and given/known data
Q.1Why when the particle's kinetic energy is smaller, the wave has longer wavelength and higher amplitude???
Q.2 Why the length of box decrease in ground state???
<All in attachment>
2. Relevant equations
3. The attempt at a solution
Q.1 wavenumber k= \frac{\sqrt{2m(U-E)}}{\hbar} , isn't it?
so KE decreases, wavenumber decreases, wavelength increases????
But isn't the amplitude just (2/L)^(1/2), from the normalization techinque???
Q.2 I really do not know why the box suddenly "contract" in the ground state.
Q.1Why when the particle's kinetic energy is smaller, the wave has longer wavelength and higher amplitude???
Q.2 Why the length of box decrease in ground state???
<All in attachment>
2. Relevant equations
3. The attempt at a solution
Q.1 wavenumber k= \frac{\sqrt{2m(U-E)}}{\hbar} , isn't it?
so KE decreases, wavenumber decreases, wavelength increases????
But isn't the amplitude just (2/L)^(1/2), from the normalization techinque???
Q.2 I really do not know why the box suddenly "contract" in the ground state.