2-state quantum systems: energy eigenstates
📚 2-state quantum systems are key to understand phenomena ranging from the spin angular momentum of electrons and protons to the qubits of quantum computers. In this video, we calculate the energy eigenstates of a 2-state quantum system.
0:00 Introduction
3:08 The "d dot sigma" operator
8:21 Eigenvalues of the "d dot sigma" operator
11:17 Eigenstates of the "d dot sigma" operator
15:00 Energy eigenstates
20:15 Wrap-up
⏮️ BACKGROUND
Pauli matrices: • The Pauli matrices
2x2 matrix space: • 2x2 matrices in terms of Pauli matrices
Two-state quantum systems | Eigenvalues: • 2-state quantum systems: energy eigenvalues
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?
Spin 1/2: [COMING SOON]
Rabi oscillations: [COMING SOON]
🧮 Double angle formulae
Wikipedia: https://en.wikipedia.org/wiki/List_of...
Wolfram MathWorld: https://mathworld.wolfram.com/Double-...
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Director and writer: BM
Producer and designer: MC