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Lagrangian    
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  • What is the difference between Newtonian and Lagrangian mechanics in a . . .
    Lagrangian mechanics are better when there are lots of constraints The more the constraints, the simpler the Lagrangian equations, but the more complex the Newtonian become Lagrangian mechanics is not very suited for non-ideal or non-holonomic systems, such as systems with friction Lagrangian mechanics is also much more extensible
  • What is the physical meaning of the action in Lagrangian mechanics?
    The Hamiltonian H and Lagrangian L which are rather abstract constructions in classical mechanics get a very simple interpretation in relativistic quantum mechanics Both are proportional to the number of phase changes per unit of time The Hamiltonian runs over the time axis (the vertical axis in the drawing) while the Lagrangian runs over the trajectory of the moving particle, the t’-axis
  • Physical meaning of the Lagrangian function [duplicate]
    The point was, I wanted to have a physical interpretation of the Lagrangian, and leave the action and the principle as abstract constructions done for who knows what reason, probably because the principle is equivalent to the EL equations
  • The origin of the Lagrangian - Physics Stack Exchange
    Lagrangian mechanics uses the energy equation (1) to find the trajectory with the property that the rate of change of kinetic energy matches the rate of change of potential energy
  • newtonian mechanics - Motivation for form $L = T - V$ of Lagrangian . . .
    Summarizing, Lagrangian, Newtonian and Hamiltonian mechanics are different mathematical frameworks whose goal is to describe the same physics The postulates of classical mechanics hold for all formalism, because they are facts of Nature, and we can use them to realize the passage from one to another scheme Of course, one must treat mathematical objects with care in order to gain the equivalence
  • Any good resources for Lagrangian and Hamiltonian Dynamics?
    I'm taking a course on Lagrangian and Hamiltonian Dynamics, and I would like to find a good book resource with lots of practice questions and answers on either or both topics So far at my univers
  • What makes a Lagrangian a Lagrangian? - Physics Stack Exchange
    The Lagrangian is one implementation of an underlying geometry, called a "symplectic" geometry that connects kinematic variables with their conjugate dynamic variables, in the description of dynamics and laws of motion
  • Connection between different kinds of Lagrangian
    The third definition is different Of course it is also related in the sense that in Lagrangian formulations of dynamics or variational problems, Lagrange multiplier methods often appear But this third definition of a Lagrangian gets its name because of Lagrange multipliers, rather than because they are in any ways related to Lagrangians of variational problems I am not the best person to
  • Lagrangian of Schrödinger field - Physics Stack Exchange
    Is it possible to work with the real Lagrangian density and somehow get the correct commutation relations? I would have expected two Lagrangians differing by total derivative terms to give identical commutation relations (since canonical transformations preserve them)





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