\Psi - LaTeX Symbol

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Ψ

\Psi

The Greek letter Psi (\Psi) is often used in mathematics and physics to represent a variety of concepts, such as wave functions in quantum mechanics, stream functions in fluid dynamics, and sometimes as a variable in equations. It is the 23rd letter of the Greek alphabet and is used in both uppercase (\Psi) and lowercase (\psi) forms.

Examples

Ψ (x, t) = ψ_{0} e^{- iω t}

Wave function in quantum mechanics representing the state of a particle.

\Psi(x, t) = \psi_0 e^{-i\omega t}

Ψ = \int ψ (x) d x

Integral of a function, often used in probability and statistics.

\Psi = \int \psi(x) dx

Ψ = \frac{1}{2 π} \int e^{ik x} ψ (k) d k

Fourier transform of a function, used in signal processing and physics.

\Psi = \frac{1}{2\pi} \int e^{i k x} \psi(k) dk