About Schrodinger Equation - A simple derivation

Rutherford Gold-Foil Scattering Experiment: Apparatus and Detection Setup Rutherford's Gold-Foil Alpha Scattering Experiment Photon Polarization States and Transition Amplitudes Particle in a Box: Energy Quantization from the Schrödinger Equation Standing Waves and Boundary Conditions From Classical to Quantum Quantization Double-Slit, Single-Slit, and Diffraction Grating Interference Patterns Fermi-Dirac and Bose-Einstein Statistics Compared to Maxwell-Boltzmann Distributions Bohr Model: Quantized Energy Levels and Electron Transitions Bell's Inequality Planck's Distribution Law and Photon Statistics Classical Rayleigh-Jeans Failure and the Ultraviolet Catastrophe Infinite Potential Well: Wave Function Normalization and Energy Quantization Blackbody Radiation and the Ultraviolet Catastrophe Abelian Gauge Transformations from U(1) Wave Function Explanation for Stable Electron Orbitals Wave-Particle Duality and Quantized Electron Energy Levels Quantum Tunneling in Particle in a Box Potential U(1) Gauge Invariance and the Derivation of Quantum Electrodynamics \(2\)-body potential quantum scattering theory Schrodinger's Cat Wave Function Probability Density and Angular Momentum Quantization Atomic Theory and the Discovery of Subatomic Particles