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Results tagged with schroedinger-equation
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user 97407
Partial differential equation which describes the time evolution of the wavefunction of a quantum system. It is one of the first and most fundamental equations of quantum mechanics.
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 …
- 35.5k
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 …
- 363k
2
votes
0
answers
719
views
Guess the wave function in a given potential
Are there any techniques in guessing the ground state wave function in any given potential?
For example, for a given potential like $$ \frac{1}{1-x^2}$$ or $$ \frac{1}{1-x^3}~?$$ I know wave func …
- 213k