[Verse 1] In eighteen twenty-six Schrödinger found The equation that makes quantum world go round Partial derivatives dancing with time Hamiltonian operator keeping the rhyme Psi the wave function holds all we can know About particles dancing high and low [Chorus] I times h-bar partial psi partial t Equals H hat operating on psi The heart of quantum theory beats so strong Predicting how the wave functions move along Time evolution written in this way Schrödinger's equation rules the quantum day [Verse 2] The wave function spreads across all space Probability amplitudes showing their face When you square the magnitude you will see Where particles are likely to be But before you measure it's everywhere Superposition floating in the air [Chorus] I times h-bar partial psi partial t Equals H hat operating on psi The heart of quantum theory beats so strong Predicting how the wave functions move along Time evolution written in this way Schrödinger's equation rules the quantum day [Bridge] Linear equation means we can combine Different solutions in a superposed line Unitarity keeps probabilities right Conservation laws shining bright From hydrogen atoms to quantum computers This equation guides all quantum futures [Verse 3] Kinetic energy plus potential too The Hamiltonian tells us what to do Momentum operator squared over two m Plus V of x completes the quantum gem Solve for eigenvalues and you will find Energy levels perfectly defined [Chorus] I times h-bar partial psi partial t Equals H hat operating on psi The heart of quantum theory beats so strong Predicting how the wave functions move along Time evolution written in this way Schrödinger's equation rules the quantum day [Outro] From microscopic to macroscopic scale This quantum equation will never fail The fundamental law of quantum motion Schrödinger's beautiful devotion
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