Schrödinger

[sunnatilla352]

import numpy as np
import matplotlib.pyplot as plt

Schrödinger modelini vizuallashtirish (Zarracha qutida modeli)

L = 1.0 # Molekula o'lchami
x = np.linspace(0, L, 500)
n = 1 # Energiya darajasi (n=1, 2, 3...)

To'lqin funksiyasi (Psi)

psi = np.sqrt(2/L) * np.sin(n * np.pi * x / L)

Elektron zichligi (Psi kvadrat) - Schrodinger tenglamasining amaliy natijasi

prob_density = psi**2

plt.figure(figsize=(10, 5))
plt.plot(x, psi, label='To'lqin funksiyasi ($\Psi$)', color='blue')
plt.plot(x, prob_density, label='Elektron zichligi ($\Psi^2$)', color='red', linestyle='--')
plt.title(f'Schrödinger modeli: Energiya darajasi n={n}')
plt.xlabel('Molekula bo'ylab masofa')
plt.ylabel('Amplituda / Zichlik')
plt.legend()
plt.grid(True)
plt.show()