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A lowercase Greek letter commonly used to represent wave functions in quantum mechanics and potential functions in physics.

\psi image

Examples

Wave function in quantum mechanics

\psi(x,t) = A\cos(kx - \omega t)

Characteristic function in probability theory

\psi_X(t) = \mathbb{E}[e^{itX}] = \int_{-\infty}^{\infty} e^{itx}f_X(x)dx

General function notation in mathematics

\psi: G \rightarrow H \text{ is a homomorphism}