qshoot
Quantum mechanics eigenstate solver using the shooting method.
Solves the 1D time-independent Schrödinger equation for four textbook potentials:
| Potential | Equation |
|---|---|
| Infinite Square Well | ψ'' = −Ẽψ |
| Harmonic Oscillator | ψ'' = (ξ² − E)ψ |
| Finite Square Well | ψ'' = (V(ξ) − E)ψ |
| Double-Well | ψ'' = λ[(ξ²−1)² − E]ψ |
Uses outward + inward integration with Wronskian matching at the classical turning point, achieving ~10⁻¹² relative accuracy.
Install
pip install qshoot
Usage
GUI (tkinter)
qshoot
Select a potential, adjust parameters, click Solve.
As a library
from qshoot.solvers import make_harmonic_config, solve_problem
config = make_harmonic_config(n_levels=4)
states = solve_problem(config)
for s in states:
print(f"n={s.index} ({s.parity}): E = {s.energy:.8f}")
Requirements
- Python ≥ 3.10
- NumPy ≥ 1.22
- Matplotlib ≥ 3.5
License
MIT
1 maintainer
Metadata
1 maintainer
Release files for qshoot 0.1.2
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