Tagged Questions
2
votes
1answer
132 views
The relation between Hamiltonian and Energy
I know Hamiltonian can be energy and be a constant of motion if and only if:
Lagrangian be time-independent,
potential be independent of velocity,
coordinate be time independent.
Otherwise
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1
vote
2answers
386 views
Canonical transformations and conservation of energy
I have an important doubt about the nature of canonical transformations in hamiltonian mechanics.
Suppose I have a one-degree-of-freedom lagrangian system, whose hamiltonian depends explicitly on ...
0
votes
3answers
143 views
Equation $H(q,p)=E$ is the equation of motion or energy-conservation law?
I do not completely understand, why do we consider Hamilton–Jacobi equation $H(q,p)=E$ as equation of motion, whereas it is looks like energy-conservation law?
3
votes
3answers
544 views
Is there a valid Lagrangian formulation for all classical systems?
Can one use the Lagrangian formalism for all classical systems, i.e. systems with a set of trajectories $\vec{x}_i(t)$ describing paths?
On the wikipedia page of Lagrangian mechanics, there is an ...
