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Results tagged with hamiltonian-formalism
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user 37562
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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What's the point of Hamiltonian mechanics?
An additional point which was not emphasized by the previous answers enough is that Hamiltonian formalism allows you to do canonical transformations to switch to the best possible coordinate system in …
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How to find zero-point oscillations for this system?
Consider the following Hamiltonian which is absolutely relativistic literally: only sensitive to absolute pairwise relative phase space variables of objects for a system of $N$ objects moving in one d …
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How to find zero-point oscillations for this system?
This is as far as I got: The following are exact solutions for the phase space evolution of a system of $N$ objects. These solutions may be considered stationary equilibria. Is there a way to do pertu …