Learn Invest About

Where Understanding Creates Value. Open education — built by a family, for everyone.

Learn

Quantum Engineering
All Curricula

Company

About SIIEA
Investment Hub
Contact

Legal

Terms of Service
Privacy Policy
Disclaimer

© 2026 SIIEA Innovations, LLC. All rights reserved.

Educational content licensed under CC BY-NC-SA 4.0. Content is AI-assisted — see disclaimer.

Quantum Engineering Year 1: Quantum Mechanics Core Month 13Day 358

This content was created with AI assistance and may contain errors or inaccuracies. Always verify against authoritative academic sources.

Full disclaimer

Year 1·Month 13·Week 4

Day 358: The Schrodinger Equation — The Fundamental Law of Quantum Dynamics

Day 358 of 2,016~17 min read

Learning Objectives

•State the time-dependent Schrodinger equation and explain each term
•Derive the Schrodinger equation from classical-quantum correspondence
•Prove that the Schrodinger equation conserves probability
•Understand why the equation must be first-order in time
•Connect the Schrodinger equation to energy conservation
•Solve the Schrodinger equation for simple time-independent Hamiltonians

Today's Schedule (7 hours)

Previous dayNext day

On this page

1 The Fifth Postulate Time Evolution 2 Anatomy of the Schrodinger Equation 3 Why First Order in Time 4 Derivation from Classical Mechanics 5 The Schrodinger Equation in Position Representation 6 Conservation of Probability 7 The Continuity Equation 8 Energy Conservation Physical Interpretation The Role of the Hamiltonian Quantum vs Classical Evolution The Imaginary Unit i Quantum Computing Connection Quantum Gates as Time Evolution Hamiltonian Simulation Continuous-Time Quantum Walks

Day 357Day 358 of 2,016Day 359