TeXipedia

varLambda

Represents an uppercase lambda variant commonly used in mathematical notation and physics equations.

Overview

Serves as a stylistic variant of the capital Lambda (Λ), offering a more cursive or decorative appearance while maintaining the same mathematical meaning. This version is particularly prevalent in:

  • Quantum mechanics and particle physics notation
  • Mathematical expressions where visual distinction from standard Lambda is desired
  • Statistical analysis and probability theory
  • Mathematical physics equations where different Lambda variants help distinguish between related quantities

Examples

Using the variant Lambda symbol in a quantum mechanics equation for the decay constant.

Λ=ln⁡(2)t1/2\varLambda = \frac{\ln(2)}{t_{1/2}} 
\varLambda = \frac{\ln(2)}{t_{1/2}}

Representing the cosmological constant in Einstein's field equations.

Rμν−12Rgμν+Λgμν=8πGc4TμνR_{\mu\nu} - \frac{1}{2}Rg_{\mu\nu} + \varLambda g_{\mu\nu} = \frac{8\pi G}{c^4}T_{\mu\nu} 
R_{\mu\nu} - \frac{1}{2}Rg_{\mu\nu} + \varLambda g_{\mu\nu} = \frac{8\pi G}{c^4}T_{\mu\nu}

Denoting an eigenvalue matrix in linear algebra.

A=PΛP−1A = P\varLambda P^{-1} 
A = P\varLambda P^{-1}