24/12/2025
Quantum physics revolutionizes our view of reality at atomic scales, where particles like electrons exhibit wave-particle duality (🌊⚛️). Energy is quantized: [ E = hf ], with Planck's constant [ h = 6.626 \times 10^{-34} ] J·s. Heisenberg's Uncertainty Principle states [ \Delta x \Delta p \geq \frac{\hbar}{2} ] (❓), limiting simultaneous position-momentum knowledge.Key quantum numbers define electrons: principal [ n ] (energy 🌀), azimuthal [ l ] (shape 🔄), magnetic [ m_l ] (orientation 📍), spin [ m_s = \pm \frac{1}{2} ] (↑↓). Superposition allows multiple states; entanglement links particles instantly (🔗).Timeline: 1900 Planck (📈), 1905 Einstein (🥽), 1925 Heisenberg/Schrödinger (🧮).