Quantum Mechanics: Core Principles and Phenomena
Foundations of quantum mechanics: wave-particle duality, Schrödinger equation, Heisenberg uncertainty, quantum superposition, entanglement, and measurement problem.
The data
Principles
| Name | Description | Key experiments | Formula | Significance | Interpretation | Implications | Famous example | Experimental verification | Interpretations | Applies to | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Wave-Particle Duality | Matter and light exhibit both wave and particle properties depending on experimental setup |
| de Broglie wavelength: λ = h/p | Fundamental departure from classical physics; all matter has wave nature | null | null | null | null | null | null | ||||||||
| Schrödinger Equation | Fundamental equation of non-relativistic quantum mechanics; describes evolution of quantum state | null | iℏ ∂ψ/∂t = Ĥψ (time-dependent); Ĥψ = Eψ (time-independent) | Predicts probability amplitudes; solutions (wavefunctions) give energy levels and spatial distributions | |ψ(x)|² gives probability density of finding particle at position x | null | null | null | null | null | ||||||||
| Heisenberg Uncertainty Principle | Fundamental limit on simultaneous precision of complementary observables | null | Δx · Δp ≥ ℏ/2; ΔE · Δt ≥ ℏ/2 | Not a measurement limitation but intrinsic property of quantum systems; conjugate variables cannot be simultaneously sharp | null | Explains atomic stability (electron can't collapse into nucleus), zero-point energy | null | null | null | null | ||||||||
| Quantum Superposition | Quantum system exists in all possible states simultaneously until measured | null | |ψ⟩ = α|0⟩ + β|1⟩ where |α|² + |β|² = 1 | Basis of quantum computing (qubits); demonstrated by double-slit interference | null | null | Schrödinger's cat thought experiment (cat simultaneously alive and dead) | null | null | null | ||||||||
| Quantum Entanglement | Two or more particles share a quantum state; measurement of one instantaneously affects the other regardless of distance | null | |ψ⟩ = (|00⟩ + |11⟩)/√2 (Bell state) | Violates local realism (Bell's theorem); basis for quantum cryptography and teleportation | null | null | null | Aspect experiment (1982) confirmed Bell inequality violation; 2022 Nobel Prize | null | null | ||||||||
| Quantum Measurement (Collapse) | Measurement causes wavefunction to collapse to an eigenstate of the measured observable | null | null | Measurement problem remains unresolved; central mystery of quantum foundations | null | null | null | null |
| null | ||||||||
| Pauli Exclusion Principle | No two identical fermions can occupy the same quantum state simultaneously | null | ψ(r₁,r₂) = -ψ(r₂,r₁) (antisymmetric wavefunction for fermions) | Explains electron shell structure, periodic table, stability of matter, neutron star degeneracy pressure | null | null | null | null | null | Fermions (electrons, protons, neutrons, quarks); not bosons (photons, gluons) |
Fetch the same bytes
The static files are identical to what the API returns, but with no rate limit and no server round trip. Use the API when you want a query and a content type; use the files when you want to cache one document.
curl "https://yjtoon.com/api/dataset/quantum-mechanics-basics?format=toon"
const res = await fetch( "https://yjtoon.com/static-data/dataset/quantum-mechanics-basics.toon" ); const toon = await res.text();
Rate limit: 120 requests per minute per IP, no key and no signup. API reference →