{
    "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.",
        "summary": "The central principles of quantum mechanics and the phenomena that illustrate them: wave-particle duality, the Schrodinger equation, the uncertainty principle, superposition, entanglement and measurement, each with key experiments, a formula and its significance.",
        "use_when": [
            "You need an accurate one-paragraph statement of a quantum principle.",
            "You are connecting a principle to the experiment that demonstrated it."
        ],
        "caveats": [
            "Quantum mechanics is mathematically settled but its interpretation (what measurement means) is still debated.",
            "Popular descriptions of superposition and entanglement often overstate what they imply; prefer the formal statement."
        ],
        "related": [
            "classical-mechanics",
            "electromagnetism-basics",
            "optics-fundamentals"
        ],
        "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,
        "entry_count": 7,
        "fields": [
            {
                "section": "principles",
                "field": "name",
                "type": "string",
                "example": "Wave-Particle Duality"
            },
            {
                "section": "principles",
                "field": "description",
                "type": "string",
                "example": "Matter and light exhibit both wave and particle…"
            },
            {
                "section": "principles",
                "field": "key_experiments",
                "type": "array",
                "example": "[3 items]"
            },
            {
                "section": "principles",
                "field": "formula",
                "type": "string",
                "example": "de Broglie wavelength: λ = h/p"
            },
            {
                "section": "principles",
                "field": "significance",
                "type": "string",
                "example": "Fundamental departure from classical physics; a…"
            },
            {
                "section": "principles",
                "field": "interpretation",
                "type": "string",
                "example": "|ψ(x)|² gives probability density of finding pa…"
            },
            {
                "section": "principles",
                "field": "implications",
                "type": "string",
                "example": "Explains atomic stability (electron can't colla…"
            },
            {
                "section": "principles",
                "field": "famous_example",
                "type": "string",
                "example": "Schrödinger's cat thought experiment (cat simul…"
            },
            {
                "section": "principles",
                "field": "experimental_verification",
                "type": "string",
                "example": "Aspect experiment (1982) confirmed Bell inequal…"
            },
            {
                "section": "principles",
                "field": "interpretations",
                "type": "array",
                "example": "[3 items]"
            },
            {
                "section": "principles",
                "field": "applies_to",
                "type": "string",
                "example": "Fermions (electrons, protons, neutrons, quarks)…"
            }
        ]
    },
    "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)"
            }
        ]
    }
}