TA in PhD life
2026-2027 Winter semester
Quantum Mechanism For Engineer
1. Understanding the Hamiltonian from an Engineering Perspective
If you are familiar with transfer functions, input–output systems, or state-space models, you already have a useful foundation for understanding the Hamiltonian in quantum mechanics.
These notes introduce the Hamiltonian through a simple two-input, two-output system, explaining the physical meaning of matrix elements, their role in quantum dynamics, and their geometric interpretation.
The goal is not to memorize matrix notation, but to understand what each term actually does.