Hamiltonian

Definitions

  • Chambers's Twentieth Century Dictionary
    • adj Hamiltonian ham-il-tō′ni-an pertaining to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation: pertaining to the philosophy of Sir W. Hamilton (1788-1856).
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Usage

In literature:

This was the Hamiltonian method, and the way in which I learnt most languages.
"Men of Invention and Industry" by Samuel Smiles
Fraser was then a Hamiltonian and Ferrier was a Hegelian, and a great hubbub arose between the adherents of the two schools.
"Principal Cairns" by John Cairns
HAMILTONIAN SYSTEM, a system of teaching languages by interlinear translation.
"The Nuttall Encyclopaedia" by Edited by Rev. James Wood
What Mr. Roosevelt really did was to revive the Hamiltonian ideal of constructive national legislation.
"The Promise Of American Life" by Herbert David Croly
The Hamiltonians would not, and the others could not, alone.
"Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson" by Thomas Jefferson
Justice Story, in his Commentaries, espouses the Hamiltonian position.
"The Constitution of the United States of America: Analysis and Interpretation"
A Critique on the Hamiltonian Theory of Limitation, including some Strictures upon the Theories of Rev.
"The Atlantic Monthly, Volume 16, No. 97, November, 1865" by Various
The Hamiltonians were for England.
"A History of the United States" by Cecil Chesterton
There cannot be the least doubt in the world that the Hamiltonian system of teaching languages is one of the best ever invented.
"Recreations of Christopher North, Volume I (of 2)" by John Wilson
The modification of the Hamiltonian principle appropriate to the case of cyclic systems has been given by J. Larmor.
"Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 9" by Various
A vast majority in number as well as in interest of these are men deeply imbued with Hamiltonian principles.
"Inquiry Into the Origin and Course of Political Parties in the United States" by Martin Van Buren
Both were developments of Hamilton's principles, and they have suffered from the general discredit of the Hamiltonian school.
"The Age of Tennyson" by Hugh Walker
Furthermore, it was quite certain that the Hamiltonians would do everything in their power to poison the mind of the President.
"Thomas Jefferson" by Gilbert Chinard
The economic program accorded with considerations partly Hamiltonian, partly state-socialist.
"Government in Republican China" by Paul Myron Anthony Linebarger
And thus the scheme of Providence began To canonize the Hamiltonian.
"The Bee's Bayonet" by Edwin Alfred Watrous
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In news:

Is Europe's ' Hamiltonian moment' near.
A Hamiltonian By Any Name.
Michael Dax Iacovone at the Hamiltonian Gallery in Washington.
Computer searches, symmetry finding, line crossings, and hamiltonian paths.
Limiting the General Welfare Clause The Hamiltonian view of the provision has expanded government.
If they talk like Jeffersonians but want to be governed by Hamiltonians.
In her photo series, Elena Volkova documents nondescript corners of the Hamiltonian Gallery.
Dino Kos , managing director of Hamiltonian Associates, talks about possible solutions to remedy the eurozone sovereign debt crisis and market sentiment.
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In science:

Fuchssteiner: The Lie algebra structure of degenerate Hamiltonian and bi-Hamiltonian systems, Progr.
Generalized Lie bialgebroids and Jacobi structures
Here successive iterations of the Hamiltonian on an arbitrary trial wavefunction Ψ0 are performed to reduce the Hamiltonian to a tridiagonal form.
Two-Body Random Ensembles: From Nuclear Spectra to Random Polynomials
When ψt is a 1-parameter subgroup generated by a Hamiltonian function f , A and κ are related by κ(ψ) = exp(2πiA(ψ)), assumed that the Hamiltonian function f is normalized so that R f ωn = 0.
Hamiltonian symplectomorphisms and the Berry phase
Let {ψt | t ∈ [0, 1]} be the Hamiltonian isotopy in M generated by the time dependent Hamiltonian function ft .
Hamiltonian symplectomorphisms and the Berry phase
Let ψ and ψ ′ be 1-periodic Hamiltonian flows generated by the Hamiltonian functions f and f ′ respectively.
Hamiltonian symplectomorphisms and the Berry phase
The matrix theory Hamiltonian is often written, following BFSS, in the form [X i , X j ][X i , X j ] + θT γi [X i , θ](cid:19) Tr (cid:18)P iP i − where we have rescaled X/g 1/3 → X and written the Hamiltonian in Planck units l11 = 1.
M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
Notice that here the linear part ˙x = Ax represents a hamiltonian system, while the full system (6) is in general – i.e. unless α0 (r2 ) ≡ 0 – non hamiltonian; the NF is also in general non-hamiltonian.
Poincare' normal forms and simple compact Lie groups
Here again the linear part ˙x = Ax represents a hamiltonian system, while the full system (7) is in general – i.e. unless α0 (r2 ) ≡ 0 and αβ (r2 ) = cβ P (r2 ) for a single scalar function P – non hamiltonian; the NF is also in general non-hamiltonian, unless all the ak vanish.
Poincare' normal forms and simple compact Lie groups
In the same limit for the random model at the phase transition point an effective interface Hamiltonian has been constructed and mapped onto the interface Hamiltonian of the random-field Ising model13 .
The Random-bond Potts model in the large-q limit
The Hamiltonian (4) at given n can be interpreted as a Hamiltonian of n polymers interacting with the surface.
Localization of a random heteropolymer onto a surface
For such hamiltonians there exists no fixed unitary matrix S that commutes with the hamiltonian, H = S H S −1 , and preserves the Dirac structure, which requires S = diag(s, s).
A Classification of random Dirac fermions
In addition, one chooses a Hamiltonian and labels the states in the Hilbert space by irreducible representations of the Hamiltonian’s symmetry group.
Physics with exotic probability theory
For a momentum mapping J and ξ ∈ g, ˆJ (ξ ) is a Hamiltonian observable and ξZ is the corresponding Hamiltonian vector field.
A Frame Bundle Generalization of Multisymplectic Momentum Mappings
The large-Nc Hamiltonian is obtained by dividing the original Hamiltonian by Nc and rewriting it in terms of our large-Nc variables.
Large N limit of SO(N) gauge theory of fermions and bosons
We thus need to incorporate this possibility in our scheme, and generalize the Hamiltonian in Eq.(2) and (3) by giving arbitrary sizes to the spin operators in the Hamiltonian and by having either sign for the couplings.
Thermodynamics of strongly disordered spin ladders
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