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Lagrangian    
拉氏算符

拉氏算符


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  • The origin of the Lagrangian - Physics Stack Exchange
    To explain the form of the Lagrangian the energy equation is essential The animation below consists of 7 frames, each frame is displayed for 3 seconds In the upper-left sub-panel of the combined diagram the black line represents a trial trajectory The animation sweeps through a range of trajectory variation In the upper right sub-panel:
  • Momentum in Lagrangian mechanics - Physics Stack Exchange
    Lagrangian mechanics, though, is much more general as pointed out by the other answers It allows one to study other systems with other generalized momentum associated with translational invariance Share
  • How is Lagrangian Mechanics useful? - Physics Stack Exchange
    Also can Lagrangian be used to solve any of the problems out there in mechanics easily? very much so Go to the problems section of your textbook on the Lagrangian Mechanics chapter, find a problem near the back of the section, and try to solve it using a Newtonian approach It will quickly become clear just how useful the Lagrangian approach is
  • 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
  • lagrangian formalism - The proof of conservation of momentum in . . .
    The underlying solid point is that if the Lagrangian does not change value on shifting the system in space (or shifting values of the coordinates), then value of $\sum_a \frac{\partial L}{\partial \mathbf v_a}$ is conserved
  • 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
  • lagrangian formalism - Whats the point of Hamiltonian mechanics . . .
    First of all, Lagrangian is a mathematical quantity which has no physical meaning but Hamiltonian is physical (for example, it is total energy of the system, in some case) and all quantities in Hamiltonian mechanics has physical meanings which makes easier to have physical intuition
  • Lagrangian of Schrödinger field - Physics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • How can the Feynman rules be read off the Lagrangian?
    This is because of gauge invariance The simplest case where this shows up is the free Maxwell Lagrangian The modern way of dealing with this is through the formal manipulation with path integrals called the Faddeev-Popov procedure, which introduces additional terms in the Lagrangian (gauge-fixing term and maybe ghost fields)





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