qshoot 0.1.1

Quantum mechanics eigenstate solver using the shooting method

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