• Support PF! Buy your school textbooks, materials and every day products Here!

What is the potential?

  • Thread starter eljose
  • Start date
492
0
let be the next problem: given a particle with mass so [tex]\hbar=(2m)^{0.5} [/tex] then we would have the quantum Hamiltonian:

[tex]H\phi(x)=E_{n}\phi(x) [/tex] with [tex]H=-D^{2}\phi+V(x)\phi [/tex]

my question is how i would choose the potential so we have that the energies are the root of the equation [tex]f(x)=0 [/tex]

i try using the WKB approach to calculate the function:

[tex]\phi(x)=e^{iS(x)/\hbar} [/tex] with [tex]s^{2}=E_{n}-V(x) [/tex]

with that i get a functional equation for the potential V(x), my problem is how i introduce the condition that the energies are the roots of f(x)... :frown: :frown:
 

Answers and Replies

Related Threads for: What is the potential?

  • Last Post
Replies
3
Views
757
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
1
Views
4K
Replies
1
Views
2K
Replies
1
Views
7K
Replies
7
Views
1K
Replies
1
Views
3K
Top