api: "YAML JSON TOON Database"
version: "1.0.0"
format: "json"
dataset:
  id: 68
  slug: "quantum-mechanics-basics"
  title: "Quantum Mechanics: Core Principles and Phenomena"
  description: "Foundations of quantum mechanics: wave-particle duality, Schrödinger equation, Heisenberg uncertainty, quantum superposition, entanglement, and measurement problem."
  category: "Physics"
  category_slug: "physics"
  tags: "physics,quantum-mechanics,schrodinger,heisenberg,superposition,entanglement,wave-particle-duality"
  view_count: 0
  created_at: 1778695229
  updated_at: 1778695229
data:
  principles:
    - name: "Wave-Particle Duality"
      description: "Matter and light exhibit both wave and particle properties depending on experimental setup"
      key_experiments:
        - "Double-slit experiment (interference pattern for electrons/photons)"
        - "Photoelectric effect (light as particles/photons)"
        - "Davisson-Germer experiment (electron diffraction)"
      formula: "de Broglie wavelength: λ = h/p"
      significance: "Fundamental departure from classical physics; all matter has wave nature"
    - name: "Schrödinger Equation"
      description: "Fundamental equation of non-relativistic quantum mechanics; describes evolution of quantum state"
      formula: "iℏ ∂ψ/∂t = Ĥψ (time-dependent); Ĥψ = Eψ (time-independent)"
      significance: "Predicts probability amplitudes; solutions (wavefunctions) give energy levels and spatial distributions"
      interpretation: "|ψ(x)|² gives probability density of finding particle at position x"
    - name: "Heisenberg Uncertainty Principle"
      description: "Fundamental limit on simultaneous precision of complementary observables"
      formula: "Δx · Δp ≥ ℏ/2; ΔE · Δt ≥ ℏ/2"
      significance: "Not a measurement limitation but intrinsic property of quantum systems; conjugate variables cannot be simultaneously sharp"
      implications: "Explains atomic stability (electron can't collapse into nucleus), zero-point energy"
    - name: "Quantum Superposition"
      description: "Quantum system exists in all possible states simultaneously until measured"
      formula: "|ψ⟩ = α|0⟩ + β|1⟩ where |α|² + |β|² = 1"
      significance: "Basis of quantum computing (qubits); demonstrated by double-slit interference"
      famous_example: "Schrödinger's cat thought experiment (cat simultaneously alive and dead)"
    - name: "Quantum Entanglement"
      description: "Two or more particles share a quantum state; measurement of one instantaneously affects the other regardless of distance"
      formula: "|ψ⟩ = (|00⟩ + |11⟩)/√2 (Bell state)"
      significance: "Violates local realism (Bell's theorem); basis for quantum cryptography and teleportation"
      experimental_verification: "Aspect experiment (1982) confirmed Bell inequality violation; 2022 Nobel Prize"
    - name: "Quantum Measurement (Collapse)"
      description: "Measurement causes wavefunction to collapse to an eigenstate of the measured observable"
      interpretations:
        - name: "Copenhagen"
          description: "Collapse is fundamental; measurement creates reality"
        - name: "Many-Worlds"
          description: "No collapse; all outcomes realized in branching universes"
        - name: "Decoherence"
          description: "Apparent collapse due to entanglement with environment"
      significance: "Measurement problem remains unresolved; central mystery of quantum foundations"
    - name: "Pauli Exclusion Principle"
      description: "No two identical fermions can occupy the same quantum state simultaneously"
      formula: "ψ(r₁,r₂) = -ψ(r₂,r₁) (antisymmetric wavefunction for fermions)"
      significance: "Explains electron shell structure, periodic table, stability of matter, neutron star degeneracy pressure"
      applies_to: "Fermions (electrons, protons, neutrons, quarks); not bosons (photons, gluons)"