📦 Particle in a 1D Box — Asymmetric vs Symmetric Wells (Full Schrödinger Solution)
In this video, we explore the quantum particle in a one-dimensional box and solve the time-independent Schrödinger equation step-by-step for two cases:
🔹 Asymmetric infinite well (0 to L)
🔹 Symmetric infinite well (−L/2 to +L/2)
We derive the allowed energy levels, obtain the normalized wavefunctions, and show how the choice of coordinate system affects the form of the solutions (sin vs cos), while leaving the physical predictions unchanged.
Perfect for students learning quantum mechanics, eigenstates, and boundary value problems — or anyone revising for exams.
