TeXipedia

varPhi

Represents the uppercase variant phi character, commonly used in mathematical notation and physics equations.

Overview

Serves as a distinct capital phi variant in mathematical expressions, particularly useful when both regular and variant forms are needed in the same context.

  • Frequently appears in physics equations, especially in electromagnetic theory and quantum mechanics
  • Used to denote potential functions and phase angles in various mathematical contexts
  • Distinguished from the standard \Phi by its more cursive appearance
  • Common in statistical mechanics and thermodynamics for representing partition functions

Examples

Using the capital phi variant in a quantum mechanics wave function.

Ψ(x,t)=Φ(x)e−iEt/ℏ\Psi(x,t) = \varPhi(x)e^{-iEt/\hbar} 
\Psi(x,t) = \varPhi(x)e^{-iEt/\hbar}

Representing a magnetic flux in electromagnetic theory.

ΦB=∮CB⃗⋅dA⃗\varPhi_B = \oint_C \vec{B} \cdot d\vec{A} 
\varPhi_B = \oint_C \vec{B} \cdot d\vec{A}

Denoting a potential function in classical mechanics.

∂Φ∂t+12(∇Φ)2+V=0\frac{\partial \varPhi}{\partial t} + \frac{1}{2}(\nabla \varPhi)^2 + V = 0 
\frac{\partial \varPhi}{\partial t} + \frac{1}{2}(\nabla \varPhi)^2 + V = 0