By name: quantum description: Quantum physics fundamentals license: MIT compatibility: opencode metadata: audience: physicists category: physics
What I do
- Apply wave-particle duality concepts
- Analyze quantum state evolution
- Model quantum entanglement and Bell inequalities
- Calculate transition probabilities
- Study quantum measurement and wave function collapse
- Apply selection rules for allowed transitions
When to use me
When studying quantum information, quantum computing, or fundamental quantum physics.
Key Concepts
- de Broglie Wavelength: λ = h/p relates momentum to wave nature
- Born Rule: Measurement yields eigenvalues with probabilities |⟨a|ψ⟩|²
- Entanglement: Non-classical correlations between quantum particles
- Heisenberg Picture: Operators evolve, states fixed; vs Schrödinger picture
- Commutators: [A, B] = AB - BA, [x, p] = iℏ
- Density Matrix: ρ = |ψ⟩⟨ψ| for pure states, Tr(ρ²) < 1 for mixed