[Verse 1] In the quantum realm where particles dance Nothing's certain, just a chance But there's a function that holds the key Psi describes what might come to be Complex numbers spinning around Probability amplitudes can be found Square the magnitude, that's the rule For finding where your particle's fuel [Chorus] Wavefunction psi, encoding all states Superposition that reality creates Amplitude squared gives probability Wavefunction psi holds the mystery All possible worlds in one equation Mathematics of quantum sensation [Verse 2] Schrödinger's equation shows the way How wavefunctions evolve and change each day Partial derivatives tell the tale Of how quantum systems never fail To exist in multiple states at once Until observation makes them jump Coherence keeps the phases aligned Interference patterns, peaks combined [Chorus] Wavefunction psi, encoding all states Superposition that reality creates Amplitude squared gives probability Wavefunction psi holds the mystery All possible worlds in one equation Mathematics of quantum sensation [Bridge] Hilbert space is where they live Infinite dimensions that they give Normalization keeps the sum at one All probabilities when said and done Phase matters for the interference game Different paths won't look the same [Verse 3] When you measure, collapse occurs One outcome from what once was blurs But before that moment of detection Every possibility's in the collection Entanglement links the wavefunctions tight Spooky action at the speed of light Information encoded in the phase Quantum secrets that we can't erase [Chorus] Wavefunction psi, encoding all states Superposition that reality creates Amplitude squared gives probability Wavefunction psi holds the mystery All possible worlds in one equation Mathematics of quantum sensation [Outro] From zero to one, probabilities flow In the wavefunction, everything we know Psi holds the keys to quantum's door Mathematics showing us so much more
← Quantum Entanglement: Spooky Action at a Distance | Schrödinger's Equation: The Heart of Quantum Theory →