Question

Solve Time dependent Schrodinger equation and observe the propagation of wave packet as animation in a potential barrier in Python (or Jupyter notebook).

Steps:
1. Define x- domain and the step potential
2. Define the Gaussian Wave packet
3. construction of matrices and Plot the initial wave packet and prepare the animation (if possible)

Answer 1

To solve the time-dependent Schrödinger equation and observe the propagation of a wave packet as an animation in a potential barrier in Python (or Jupyter notebook), you can follow these steps:

Step-by-step explanation:

Define the x-domain and the step potential, Define the Gaussian wave packet, Construct the matrices and plot the initial wave packet, Prepare the animation. To solve the time-dependent Schrödinger equation and observe the propagation of a wave packet as an animation in a potential barrier in Python (or Jupyter notebook), you can follow these steps:

1. Define the x-domain and the step potential.
2. Define the Gaussian wave packet.
3. Construct the matrices and plot the initial wave packet.
4. Prepare the animation.

In order to solve the Schrödinger equation, you will need to use numerical methods and programming. Python provides several libraries that can be used for this purpose, such as NumPy and matplotlib. These libraries offer functions for matrix operations and plotting, which are essential for solving the Schrödinger equation and visualizing the results. By following these steps and using the appropriate libraries and techniques, you can simulate the propagation of a wave packet in a potential barrier and observe it as an animation.