Psi — ψ Greek Letter Symbol

ψ

Psi — ψ / Ψ

23rd letter of the Greek alphabet · pronounced /saɪ/ or /psaɪ/

PhysicsMathematicsEngineeringQuantum Mechanics
Copy symbol
ψ Lowercase psi
Ψ Uppercase Psi
Technical reference
Unicode (lowercase)U+03C8
Unicode (uppercase)U+03A8
HTML entityψ
HTML decimalψ
LaTeX\psi
Python / Unicode escape\u03c8
Alt code (Windows)Alt + 968
Uses in science & engineering
Wave function (quantum mechanics)
Describes the quantum state of a particle. |ψ|² gives the probability density.
\(i\hbar \frac{\partial \psi}{\partial t} = \hat{H}\psi\)
Stream function (fluid mechanics)
Scalar function whose contour lines represent streamlines of a 2D flow field.
\(u = \frac{\partial \psi}{\partial y}, \quad v = -\frac{\partial \psi}{\partial x}\)
Torsion angle (structural engineering)
Angle of twist in a structural member subjected to torsion.
\(\psi = \frac{TL}{GJ}\)
Digamma function (mathematics)
Logarithmic derivative of the gamma function, used in series and integrals.
\(\psi(x) = \frac{d}{dx}\ln\Gamma(x)\)
How to insert in applications
Windows
Best option: copy from this page.
Or press Win + . to open emoji & symbols panel.

Alt codes work only in Word/Notepad with NumLock on and English layout — not in browsers.
macOS
Press ⌃⌘Space → Character Viewer → search “psi”
Microsoft Word
Type 03c8 then press Alt+X
Google Docs
Insert → Special characters → search by name
Excel
Insert → Symbol → Subset: Greek → select symbol
LaTeX
Use in math mode: $ … $
Python
Use Unicode escape or chr()
HTML / CSS
Use HTML entity or decimal code

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