What Happens to Electronic Energies and Wavefunctions if C is Negative?

[commutator]

Homework Statement

a quantum mechanics problem - the one dimension potential function is V= C when mod(x)>a and zero elsewhere. C is a constant. question 1- it is about calculating reflection coefficient which i have done.
question2- if C is negative,what will happen to the electronic energies and wavefunctions?

Homework Equations

time independent scrodinger equation , continuity of wavefunction , and its derivatives

The Attempt at a Solution

my doubt is with the word "electronic",does this mean that the potential is to be inverted and since C is also inverted so it will same as the first problem where there are bound states for E<C ??

 

[mark726]

Hello!

To answer your question, yes, if the potential function is inverted due to a negative value of C, the electronic energies and wavefunctions will be affected. In this case, the potential function will be a negative value for mod(x)>a and zero elsewhere. This means that the particle will be confined to a potential well, and the energies and wavefunctions will be different from the previous case with a positive C value.

To calculate the energies and wavefunctions in this case, you can use the same equations as before, but with the negative potential function. The bound states will still exist, but the energies and wavefunctions will be different due to the change in the potential.

I hope this helps clarify your doubt. Let me know if you have any further questions. Good luck with your problem!