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Results tagged with homework-and-exercises
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user 97407
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
0
votes
1
answer
278
views
Non-dimensionalize Schroedinger's equation for this potential
I am having trouble non-dimensionalize this S.E. in order to solve numerically.. the potential is
$$V(x)=-V_{0}/(1+x^2/L^2)$$
we know that $A = V_{0}/\hbar \omega$ is dimensionless, and $B = E/\hba …
- 81
2
votes
1
answer
326
views
Superpotential for Gaussian potential well? [closed]
so I am looking for the super potential of a Gaussian well, namely $V= -e^{-x^2/2}$, and the super potential has to satisfy the Riccati equation,$
− W′ ( x ) + W ( x ) = V ( x ) − a$. Somehow I coul …
- 81
4
votes
1
answer
2k
views
How do we find the number of bounded states in this potential?
for the potential
$$V(x)=-\frac{1}{1+\frac{x^2}{m^2}}$$
we can approximate the wave function and bounded state accurately for $x << m$ as simple harmonic oscillator, so what are we gonna do if $x$ i …
- 81