query: Why are only the Lagrangian and Hamiltonian used in mechanics?
positive_passages.docid: 114672
positive_passages.text: Why do we use the Lagrangian and Hamiltonian instead of other related functions?
negative_passages.docid: 42036
negative_passages.text: Why should an action integral be stationary? On what basis did Hamilton state this principle?
negative_passages.docid: 48068
negative_passages.text: Any good resources for Lagrangian and Hamiltonian Dynamics?
negative_passages.docid: 27016
negative_passages.text: Is the Lagrangian density a functional or a function?
negative_passages.docid: 91314
negative_passages.text: Advantages of Lagrangian Mechanics over Newtonian Mechanics
negative_passages.docid: 143768
negative_passages.text: How to explain the different forms of the Hamilton-Jacobi equation?
negative_passages.docid: 103610
negative_passages.text: A theorem about oscillation in Arnold's mathematical methods of classical mechanics
negative_passages.docid: 152997
negative_passages.text: Is there a kind of Noether's theorem for the Hamiltonian formalism?
negative_passages.docid: 70880
negative_passages.text: Invariance of canonical Hamiltonian equation when adding the total time derivative of a function of $q_i$ and $t$ to the Lagrangian
negative_passages.docid: 69931
negative_passages.text: Why does a simple pendulum or a spring-mass system show simple harmonic motion only for small amplitudes?
negative_passages.docid: 112073
negative_passages.text: What does a Lagrangian of the form $L=m^2\dot x^4 +U(x)\dot x^2 -W(x)$ represent?
negative_passages.docid: 36380
negative_passages.text: Why not use the Lagrangian, instead of the Hamiltonian, in nonrelativistic QM?
negative_passages.docid: 139212
negative_passages.text: Can the double pendulum equations not be derived solely using Newtonian Mechanics (Newton's Laws of Motion)?
negative_passages.docid: 113516
negative_passages.text: Why can we only add or subtract things of the same dimension (meters/second, newtons, etc)?
negative_passages.docid: 72721
negative_passages.text: Do an action and its Euler-Lagrange equations have the same symmetries?
negative_passages.docid: 146853
negative_passages.text: Do we need inertial frames in Lagrangian mechanics?
negative_passages.docid: 45559
negative_passages.text: Why we use $L_2$ Space In QM?