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The Hamiltonian formalism is a formalism in Classical Mechanics. Besides Lagrangian Mechanics, it is an effective way of reformulating classical mechanics in a simple way. Very useful in Quantum Mechanics, specifically the Heisenberg and Schrodinger formulations. Unlike Lagrangian Mechanics, this formalism relies on a "Hamiltonian" instead of a Lagrangian, which differs from the Lagrangian through a Legendre transformation.

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Strange definition of microcanonical partition function

Boltzmann entropy is the upper limit of Gibbs entropy. I myself never saw any usage of Gibbs entropy. Gibbs entropy is misused as the sum of pLnp over the states instead of over the microstates as it …
Oded Kafri's user avatar