Day 261: Ordinary Differential Equations with SciPy

Learning Objectives

• •**Solve initial value problems** using `solve_ivp`
• •**Choose appropriate solvers** (RK45, RK23, BDF, Radau)
• •**Handle stiff equations** common in quantum systems
• •**Implement event detection** for state transitions
• •**Solve the time-dependent Schrödinger equation** numerically
• •**Simulate two-level (qubit) dynamics** with Rabi oscillations
• •**Verify accuracy** with energy conservation and unitarity

Today's Schedule (7 hours)