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Quantum Mechanics (Draft)

Work-in-progress on wave mechanics and the Schrodinger equation.

Jun 12, 2026··Fork (sign in)
draft

Incomplete draft covering wave functions, operators, and measurement.

#quantum#wip

Quantum Mechanics (Draft)

Wave Function

The quantum state of a particle is described by a wave function Ψ(x,t)\Psi(x,t)Ψ(x,t). The probability of finding the particle between xxx and x+dxx+dxx+dx is ∣Ψ∣2 dx|\Psi|^2\,dx∣Ψ∣2dx.

Schrodinger Equation

iℏ∂Ψ∂t=H^Ψi\hbar \frac{\partial\Psi}{\partial t} = \hat{H}\Psiiℏ∂t∂Ψ​=H^Ψ

TODO: expand on eigenvalues, measurement postulate, and commutator relations.