Analytical mechanics: Quiz

Question 1: Using the ________, we obtain generalized momentum and the Hamiltonian.
DerivativeEuclidean vectorLegendre transformationClassical mechanics

Question 2: Using generalized ________, we obtain Lagrange's equations.
Spherical coordinate systemCoordinate systemCartesian coordinate systemOrthogonal coordinates

Question 3: The study of the solutions of the Hamilton-Jacobi equations leads naturally to the study of ________ and symplectic topology.
Differentiable manifoldSymplectic manifoldHamiltonian mechanicsHamiltonian vector field

Question 4: By analogy with Fermat's principle, which is the variational principle in ________, Maupertuis' principle was discovered in classical mechanics.
Lens (optics)Ray (optics)MirrorGeometrical optics

Question 5: The subject has two parts: Lagrangian mechanics and ________.
Hamiltonian mechanicsEnergyForceMomentum

Question 6: Analytical mechanics is a term used for a refined, highly mathematical form of classical mechanics, constructed from the eighteenth century onwards as a formulation of the subject as founded by ________.
Immanuel KantPlatoIsaac NewtonRené Descartes

Question 7: [1][2] These approaches underlie the ________ of quantum mechanics.
Path integral formulationQuantum field theoryQuantum electrodynamicsPropagator

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