What is lagrangian of hydrogen atom?

Answer 1

A function constructed in solving economic models that include maximization of a function (the "objective function") subject to constraints. It equals the objective function minus, for each constraint, a variable "Lagrange multiplier" times the amount by which the constraint is violated. In physical terms, a Lagrangian is a function designed to sum up a whole system; the appropriate domain of the Lagrangian is a phase space, and it should obey the so-called Euler-Lagrange equations. The concept was originally used in a reformulation of classical mechanics known as Lagrangian mechanics. In this context, the Lagrangian is commonly taken to be the kinetic energy of a mechanical system minus its potential energy. The concept has also proven useful as extended to quantum mechanics.

Answer 2

The Lagrangian of the hydrogen atom is a function that describes the dynamics of the system in terms of the positions and velocities of the particles involved (the electron and the proton). It takes into account the kinetic and potential energies of the system, as well as the interaction between the particles due to electromagnetic forces. By solving the Lagrangian, one can determine the equations of motion for the system.