양자역학: 터널링 효과(Quantum Tunneling Effect)

import numpy as np

import matplotlib.pyplot as plt

from tkinter import Tk, Label, Entry, Button

from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg

# 상수 정의

hbar = 1.0545718e-34  # Reduced Planck's constant (J·s)

m_e = 9.10938356e-31  # Electron mass (kg)

# 터널링 확률 계산 함수

def tunneling_probability(V0, E, a):

    if E >= V0:

        return 1  # 에너지가 잠재장벽보다 크면 100% 터널링

    alpha = np.sqrt(2 * m_e * (V0 - E)) / hbar

    T = np.exp(-2 * alpha * a)

    return T

# Tkinter GUI 설정

def calculate_and_plot():

    try:

        V0 = float(entry_V0.get())  # 잠재장벽의 높이 (J)

        E = float(entry_E.get())    # 입자의 에너지 (J)

        a = float(entry_a.get())    # 장벽의 두께 (m)

       

        T = tunneling_probability(V0, E, a)

       

        # 그래프 생성

        fig, ax = plt.subplots()

        energies = np.linspace(0, V0, 100)

        probabilities = [tunneling_probability(V0, E, a) for E in energies]

       

        ax.plot(energies, probabilities)

        ax.set_title("Quantum Tunneling Probability")

        ax.set_xlabel("Particle Energy (J)")

        ax.set_ylabel("Tunneling Probability")

        ax.grid(True)

       

        # GUI에 그래프 표시

        canvas = FigureCanvasTkAgg(fig, master=window)

        canvas.draw()

        canvas.get_tk_widget().pack()

       

    except ValueError:

        label_result.config(text="Invalid input. Please enter valid numbers.")

# Tkinter 창 설정

window = Tk()

window.title("Quantum Tunneling Effect")

Label(window, text="Potential Barrier Height (V0, J):").pack()

entry_V0 = Entry(window)

entry_V0.pack()

Label(window, text="Particle Energy (E, J):").pack()

entry_E = Entry(window)

entry_E.pack()

Label(window, text="Barrier Width (a, m):").pack()

entry_a = Entry(window)

entry_a.pack()

Button(window, text="Calculate and Plot", command=calculate_and_plot).pack()

label_result = Label(window, text="")

label_result.pack()

window.mainloop()

 

 

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