LaTeX Lambda (λ) - Complete Guide

The Greek letter lambda (λ/Λ) is widely used in mathematics and physics for wavelength, eigenvalues, and lambda functions.

Symbol Preview

λ

Lambda

LaTeX Code

No package required

Recommended
\lambda

Lowercase lambda symbol

No package required

Recommended
\Lambda

Uppercase lambda symbol

What is the LaTeX Lambda?

Lambda is the eleventh letter of the Greek alphabet. It is extensively used in mathematics and physics: lowercase λ represents wavelength in physics and eigenvalues in linear algebra, while uppercase Λ appears in various mathematical contexts. Lambda functions in computer science are also named after this letter.

How to Use Lambda in LaTeX

Method 1: Using \lambda

✅No package required

Lowercase lambda symbol

Example: Using \lambda

latex
\documentclass{article}

\begin{document}

% Using the Lambda
Text with \lambda

\end{document}

Method 2: Using \Lambda

✅No package required

Uppercase lambda symbol

Example: Using \Lambda

latex
\documentclass{article}

\begin{document}

% Using the Lambda
Text with \Lambda

\end{document}

Common Use Cases

The Lambda symbol is commonly used in the following contexts:

Wavelength

Represents wavelength of electromagnetic radiation.

Code

Wavelength of visible light: $\lambda = 500$ nm

Output

Wavelength of visible light: λ = 500 nm

Eigenvalue

Used for eigenvalues in linear algebra.

Code

Find eigenvalues $\lambda$ such that $A\mathbf{v} = \lambda\mathbf{v}$

Output

Find eigenvalues λ such that Av = λv

Decay Constant

Used in exponential decay formulas.

Code

$N(t) = N_0 e^{-\lambda t}$

Output

N(t) = N₀ e^(-λt)

Complete Examples

Wave Equation

Lambda in wave equation

latex
\documentclass{article}
\begin{document}

The relationship between wavelength, frequency, and speed: $c = \lambda \nu$, where $\lambda$ is wavelength and $\nu$ is frequency.

\end{document}

Eigenvalue Problem

Lambda in eigenvalue problem

latex
\documentclass{article}
\begin{document}

The characteristic equation is $\det(A - \lambda I) = 0$, where we solve for $\lambda$.

\end{document}

Frequently Asked Questions

Which method should I use?

We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:

  • \lambda: Lowercase lambda symbol
  • \Lambda: Uppercase lambda symbol

Where do I use this symbol?

This symbol can be used:

  • In mathematical equations (math mode)
  • In regular text (if using text mode)
  • In various document environments

Can I use this in display mode?

Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.

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