Definition:Standard Lagrangian

Definition

Let $P$ be a physical system composed of countable number of particles.

Let $L$ be a Lagrangian of $P$.

Let:

$L = T - V$

where $T$ is the kinetic energy and $V$ the potential energy of $P$.

Then $L$ is the standard Lagrangian of $P$.

Also known as

The standard Lagrangian is also known as the kinetic potential.

Also see

• Results about the standard Lagrangian can be found here.

Source of Name

This entry was named for Joseph Louis Lagrange.

Sources

• 1963: I.M. Gelfand and S.V. Fomin: Calculus of Variations ... (previous) ... (next): $\S 4.21$: The Principle of Least Action