2-state quantum systems: energy eigenvalues
📚 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 quantum mec...
⏭️ WHAT NEXT?
Two-state quantum systems | Eigenstates: • 2-state quantum systems: energy eigenstates
Spin 1/2: [COMING SOON]
Rabi oscillations: [COMING SOON]
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Director and writer: BM
Producer and designer: MC