Quantum

Quantum physics fundamentals

ffsshhttiikk 786aab7 914 B Updated

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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

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Frequently asked questions

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