Hamilton Function
type: QuantityKind
description: The Hamilton function, or Hamiltonian, $H$ of a mechanical system is the Legendre transform of the Lagrange function, $H = \sum_i p_i\dot{q_i} - L$, expressed in terms of the generalized coordinates $q_i$ and their conjugate momenta $p_i$. When the constraints and the potential are independent of time it equals the total energy (kinetic plus potential) of the system, and it accordingly has the dimension of energy.
applicable unit: ERG
applicable unit: EV
applicable unit: http://qudt.org/vocab/unit/J
has dimension vector: A0E0L2I0M1H0T-2D0
informative reference: https://en.wikipedia.org/wiki/Hamiltonian_mechanics
iso normative reference: http://www.iso.org/iso/catalogue_detail
latex definition: $H = \sum p_i\dot{q_i} - L$, where $p_i$ is a generalized momentum, $\dot{q_i}$ is a generalized velocity, and $L$ is the Lagrange function.
plain text description: The Hamilton function, or Hamiltonian, H of a mechanical system is the Legendre transform of the Lagrange function, H = sum_i p_i q_i-dot - L, expressed in terms of the generalized coordinates q_i and their conjugate momenta p_i. When the constraints and the potential are independent of time it equals the total energy (kinetic plus potential) of the system, and it accordingly has the dimension of energy.
specialization of: Energy
symbol: H
comment: Applicable units are those of quantitykind:HamiltonFunction
broader: Energy