2-state quantum systems: energy eigenvalues

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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:    • The Pauli matrices  
2x2 matrix space:    • 2x2 matrices in terms of Pauli matrices  
Operators:    • Operators in quantum mechanics  
Matrix formulation:    • Matrix formulation of quantum mechanics  
Hermitian operators:    • Hermitian operators in quantum mechanics  
Eigenvalues and eigenstates:    • Eigenvalues and eigenstates in quantu...  

⏭️ WHAT NEXT?
Two-state quantum systems | Eigenstates:    • 2-state quantum systems: energy eigen...  
Spin 1/2: [COMING SOON]
Rabi oscillations: [COMING SOON]

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Director and writer: BM
Producer and designer: MC