Numerical simulations of quantum systems provide a robust framework for exploring particle dynamics in varying potential landscapes. We simulate the […]
Quantum Particle Motion in a 2D Harmonic Potential: A Numerical Simulation Read Post »
Imaginary time evolution is a powerful computational technique widely used in quantum mechanics to find the ground state of a
Imaginary Time Evolution Method for Finding the Ground State Read Post »
The Schrödinger equation is one of the most fundamental pillars of quantum mechanics. Proposed by Erwin Schrödinger in 1926, this
Schrödinger Equation for Matter-Wave Dynamics Read Post »
Matter-wave diffraction occurs when particles such as atoms or sub-atomic particles exhibit wave-like behavior, resulting in interference patterns. This phenomenon
Momentum-Space Analysis of Matter-Wave Diffraction Patterns Read Post »
Matter-wave solitons are stable, self-reinforcing wave packets that maintain their shape and speed as they travel. This stability arises from
A Tutorial on Matter-Wave Solitons Read Post »
The Time-Dependent Schrödinger Equation (TDSE) describes how the quantum state of a physical system changes over time. Solving this equation
Split-Step Fourier Method for TDSE: Step-by-Step Guide Read Post »
Electron matter-wave diffraction demonstrates the wave-particle duality of electrons by forming interference patterns, much like light diffraction. This simulation models
Simulation of Matter-Wave Diffraction Through a Grating Read Post »
Single-slit diffraction is a fundamental phenomenon in matter wave optics, illustrating the wave nature of particles such as electrons. In
Animation of Single-Slit Diffraction of Electron Read Post »
In this article, we explore the phenomenon of quantum tunneling through a detailed Python simulation. Quantum tunneling is a fundamental
Animation of Quantum Tunneling: A code in Python Read Post »