TEST
ON
CLASSICAL MECHANICS
For a given Newtonian dynamical system, the Lagrangian function is unique (up to a "total time derivative").
True
False
Hamilton (or Lagrange) equations are just alternative ways of writing the Newton's equations of motion.
True
False
Once you have determined forces of a dynamical system, you should be able --in principle-- to find its quantum description.
True
False
Maupertuis was a lunatic.
True
False
The difference between the Hamilton and the Lagrange equations of motion is that the Hamiltons equations are first order while the Lagrange equations are second order.
True
False
Hamiltonian equations live on cotangent bundle while Lagrange equations on a tangent bundle.
True
False
There is no Legendre transformation without a Lagrangian.
True
False
Hamilton-Jacobi equations concern canonical transformations.
True
False
Hilbert's call to geometrize classical mechanics has found answer in terms of symplectic geometry.
True
False
SEE ANSWERS
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