```python
import sympy as sp
```


```python
v0,l,x,y = sp.symbols('V_0 L x y')
```


```python
eq1 = sp.Eq(x**2/(l/(2*v0))**2+(y-v0)**2,v0**2)
eq1
```




$\displaystyle \left(- V_{0} + y\right)^{2} + \frac{4 V_{0}^{2} x^{2}}{L^{2}} = V_{0}^{2}$




```python
eq = sp.solve(eq1,y)[0]
sp.simplify(eq)
```




$\displaystyle \frac{V_{0} \left(L - \sqrt{L^{2} - 4 x^{2}}\right)}{L}$




```python

```

0db3e54a757fb9eb8dcf4975998083cb2009b2a0
ipynb
Jupyter Notebook
Potentials/semiellipticalpotential.ipynb
ethank5149/Quantum-Mechanics
71e1c2a47b8a399bf0ba7e07bb0dcbaa4a2068bd
MIT
Potentials/semiellipticalpotential.ipynb
ethank5149/Quantum-Mechanics
71e1c2a47b8a399bf0ba7e07bb0dcbaa4a2068bd
MIT
Potentials/semiellipticalpotential.ipynb
ethank5149/Quantum-Mechanics
71e1c2a47b8a399bf0ba7e07bb0dcbaa4a2068bd
MIT
Qwen/Qwen-72B
1. YES
2. YES