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Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].

1 vote
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Is Hamilton’s principle valid for systems that are not monogenic?

I have read in Goldstein that Hamilton’s principle works only for monogenic systems. Is it true? I thought that the action principle is universal?
Spotless-hola's user avatar
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Regarding Poission structure of Hamiltonian phase space

Why exactly do we need $$ \{q^i,p_j\}=\delta^i_j,$$ where $\delta^i_j$ is Kronecker delta and $\{\cdot,\cdot\}$ is the Poisson bracket? What happens to the phase space structure if these fundamental …
Spotless-hola's user avatar
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Regarding Poisson and Dirac brackets [duplicate]

The question starts with why Poisson brackets (in constrained systems) gives different relation if we substitute the constraints before or after expanding the bracket, and why this difference in relat …
Spotless-hola's user avatar
1 vote
1 answer
35 views

Regarding varying the coefficients of constraints in the pre-extended Hamiltonian in Dirac m...

consider the following variational principle: when we vary $p$ and $q$ independently to find the equations of motion, why aren't we explicitly varying the Coeff $u$ which are clearly functions of $p$ …
Spotless-hola's user avatar