Professor M does Science | 2-state quantum systems: energy eigenvalues @ProfessorMdoesScience | Uploaded October 2023 | Updated October 2024, 41 minutes ago.
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📚 2-state quantum systems are the simplest quantum systems, but they are also critically important in many areas, highlighting the spin angular momentum of spin 1/2 particles like the electron and the qubits that form the building blocks of quantum computers. In this video, we calculate the energy eigenvalues of a 2-state quantum system.

0:00 Introduction
2:08 Eigenvalues of a 2-state quantum system
7:59 Degenerate eigenvalues
10:37 2-state quantum system in terms of Pauli matrices
14:55 Re-deriving the eigenvalues of a 2-state quantum system
18:05 Wrap-up

⏮️ BACKGROUND
Pauli matrices: youtu.be/2MsVD9ufguk
2x2 matrix space: youtu.be/OdYNKLULvlU
Operators: youtu.be/pNFna7zZbgE
Matrix formulation: youtu.be/wIwnb1ldYTI
Hermitian operators: youtu.be/XIgDUfyrLAY
Eigenvalues and eigenstates: youtu.be/p1zg-c1nvwQ

⏭️ WHAT NEXT?
Two-state quantum systems | Eigenstates: youtu.be/lkVtvdJ3GbQ
Spin 1/2: [COMING SOON]
Rabi oscillations: [COMING SOON]

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Director and writer: BM
Producer and designer: MC