Professor M does Science | The Schrödinger equation @ProfessorMdoesScience | Uploaded January 2021 | Updated October 2024, 1 hour ago.
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📚 The Schrödinger equation governs the time evolution of quantum states, just like Newton's second law of motion governs the time evolution of classical states. The key term in the Schrödinger equation is the Hamiltonian, the operator that describes the total energy of the system. In this video we discuss time evolution in quantum mechanics, and solve the Schrödinger equation for the special case of conservative systems in which the Hamiltonian is time independent.

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⏮️ BACKGROUND
Dirac notation in state space: youtu.be/hJoWM9jf0gU
Representations: youtu.be/rp2k2oR5ZQ8
Eigenvalues and eigenstates: youtu.be/p1zg-c1nvwQ
Measurements | Concepts: youtu.be/u1R3kRWh1ek
State collapse: youtu.be/UaC-gLZ0Zvc

⏭️ WHAT NEXT?
What happens after a quantum measurement?: youtu.be/CGbv9cVwJL0
Density operator for pure states: youtu.be/DQEtg8pWT8E
Time evolution operator: youtu.be/zqmU4dW03aM

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Director and writer: BM
Producer and designer: MC