Wave Function in an infinite voltage area

[khfrekek92]

Homework Statement

a particle with mass m is in a region where the voltage is infinite. What is the wave function?

Homework Equations

d^2ψ/d^2x=k^2ψ
k=√2m(v+E)/h(bar)^2)
ψ=Bcos(kx) or ψ=Bsin(kx)

The Attempt at a Solution

Since voltage is infinite, k would also be infinite, so would the wave function just be undefined? This would make sense because I don't think the particle can even exist here. I'm just worried this may be a trick question?
Thanks in advance!

 

[mark726]

Hello! I understand your concern about this question. It is important to consider the physical implications of the given scenario. In this case, since the voltage is infinite, the particle would not be able to exist in this region. This means that the wave function would not be defined, as you correctly pointed out. It is not a trick question, but rather a way to test your understanding of the concept of wave function and its relationship to voltage. Keep up the good work!