Hamiltonian
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- noun
- /ˌhæmɪlˈtoʊniən/
- Specialized
- To solve the problem, we need to compute the Hamiltonian that represents the energy of the whole system.
- called Hamiltonian
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Watch on YouTubeThis information goes into this thing labeled H, which physicists call the Hamiltonian.
- This information goes into this thing labeled H, which physicists call the Hamiltonian.
- Physical in that Boltzmann machine learning is really learning a set of parameters for a physics Hamiltonian or energy function.
Examples
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In fact, for certain CPB biases, the system is described by a Hamiltonian (the so-called Jaynes-Cumming Hamiltonian) widely employed throughout atomic physics.
Academic text (2006) -
We apply the Hamiltonian to it and see what we get.
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Now, the Hamiltonian shows us... ...that the energy levels are perturbed by the electric field.
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Condensed matter theorists can write down an appropriate Hamiltonian for a quantum Hall system.
Academic text (2005) -
Our task is to see if the dynamics dictated by the interaction Hamiltonian generates a sufficiently rapid reaction to make cold fusion-powered engines feasible.
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The Hamiltonian for such a system includes the restriction that capsomers can't overlap, along with an adhesion energy arising from the tendency of capsomers to join up and minimize the exposure of their edges to water.
Academic text (2004) -
In quantum mechanics, the Hamiltonian describes the total energy of a system, allowing physicists to predict its behavior.
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The physicist wrote down the Hamiltonian for the particle in a potential field to analyze the system's energy states.
Surface Forms
Morphology
Etymology
Hamiltonian as a noun comes from the name Hamilton, from Sir William Rowan Hamilton, and the ending -ian, which means 'related to'. In physics the Hamiltonian is the energy function named after him, so the word now means the total energy of a system.