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词汇 Hamiltonian
释义

Definition of Hamiltonian in English:

Hamiltonian

adjective ˌham(ə)lˈtəʊnɪənˌhaməlˈtōnēən
  • 1Mathematics Physics
    Relating to the mathematician Sir William Rowan Hamilton, especially denoting concepts employed in the wave-mechanical description of particles.

    〔物理,数〕(爱尔兰数学家)哈密顿的;哈密顿理论的

    Hamiltonian mechanics
    Hamiltonian circuit
    Example sentencesExamples
    • In mathematics he worked on the calculus of variations, Fourier series, function spaces, Hamiltonian geometrical optics, Schrödinger wave mechanics, and relativity.
    • The game is related to Euler's Knight's Tour problem since, in today's terminology, it asks for a Hamiltonian circuit in a certain graph.
    • A generalized version of the Pigeonhole is naturally used to show that the Petersen graph does not have Hamiltonian circuits.
    • In 1834, Dublin mathematician William Rowan Hamilton applied his work on characteristic functions in optics to Newtonian mechanics, and what is now called the Hamiltonian formalism of mechanics was born.
    • He realised the analogy with Poisson brackets in Hamiltonian mechanics.
  • 2Relating to the American statesman Alexander Hamilton or his doctrines.

    (美国政治家)汉密尔顿的;汉密尔顿主义的

    the Hamiltonian North
    Example sentencesExamples
    • During the boom years of the 1960s, a period of soaring idealism about ‘the people’ generally, an almost Hamiltonian contempt for the public held sway on Wall Street.
    • In turn, it should also be noted that both the Walpolean and the Hamiltonian views are remarkably similar to the view that lies behind France's or East Asia's postwar industrial policy.
    • US foreign policy during the 1990s was dominated by a conflict between Hamiltonian urges to build a global commercial order and Wilsonian desires to promote democracy and the protection of human rights.
    • The great statesmen of the first half of the 19th century, free traders to a man, were devoted to stopping the Hamiltonian power policy of executive power, entangling alliances and war, taxes and protectionism to benefit northern elites.
    • More expansive still was the attitude towards Hamilton, again almost wholly in the North, that emerged from the carnage of the Civil War and the perception that Hamiltonian centralization would have prevented the war.
noun ˌham(ə)lˈtəʊnɪənˌhaməlˈtōnēən
  • 1Mathematics Physics
    A Hamiltonian operator or function.

    〔物理,数〕哈密顿算符;哈密顿函数

    Example sentencesExamples
    • In particular if you try to use the mapping in this manner, you will end up creating qubit Hamiltonians with very nonlocal interactions.
    • For a massive particle in zero gravity moving in one dimension, the Hamiltonian is just the kinetic energy, which in terms of momentum, not velocity, is just.
    • The interaction Hamiltonian is then diagonalized and the resulting stick spectrum is dressed with Gaussians to simulate homogeneous broadening.
    • Recently, Gonzalez and Maddocks performed a detailed theoretical analysis of the problem from the microscopic point of view where the probability measure is an exponential function of the Hamiltonian.
    • Consider a system with a Hamiltonian which posses a quantum phase transition.
  • 2A follower or adherent of Alexander Hamilton or his doctrines.

    (美国政治家)汉密尔顿的;汉密尔顿主义的

    Example sentencesExamples
    • On the one hand there are the Hamiltonians who place a great deal of trust in the executive branch to execute policy in a good faith manner.
    • I say this not to argue against ‘judicial review’ - I'm a Hamiltonian - but to question whether the ‘even one participant’ assertion is valid.

Derivatives

  • Hamiltonianism

  • nounˌham(ə)lˈtəʊnɪənɪz(ə)mˌhæməlˈtoʊniənɪzəm
    mass noun
    • Political theory or practice based on the doctrines of the American statesman Alexander Hamilton.

      Hamiltonianism was about spurring individual initiative, but it was also about gathering the fruits of that energy in the cause of national greatness
      Example sentencesExamples
      • The most vital moment in this revival, according to Knott, was when Hamiltonianism melded with the Progressive movement in the presidency of Theodore Roosevelt.
      • Subjects that will be considered are the Marshall Court, the War of 1812, US-Muslim relations, Hamiltonianism, territorial expansion, Thomas Jefferson's vision for America, and slavery.
      • By late 1792 or 1793 the opponents of Hamiltonianism constituted a fairly definite national party, calling itself Republican.

Definition of Hamiltonian in US English:

Hamiltonian

adjectiveˌhaməlˈtōnēən
  • 1Mathematics Physics
    Relating to or invented by the mathematician Sir W. R. Hamilton, especially denoting concepts employed in the wave-mechanical description of particles.

    〔物理,数〕(爱尔兰数学家)哈密顿的;哈密顿理论的

    Hamiltonian mechanics
    Hamiltonian circuit
    Example sentencesExamples
    • In 1834, Dublin mathematician William Rowan Hamilton applied his work on characteristic functions in optics to Newtonian mechanics, and what is now called the Hamiltonian formalism of mechanics was born.
    • The game is related to Euler's Knight's Tour problem since, in today's terminology, it asks for a Hamiltonian circuit in a certain graph.
    • In mathematics he worked on the calculus of variations, Fourier series, function spaces, Hamiltonian geometrical optics, Schrödinger wave mechanics, and relativity.
    • A generalized version of the Pigeonhole is naturally used to show that the Petersen graph does not have Hamiltonian circuits.
    • He realised the analogy with Poisson brackets in Hamiltonian mechanics.
  • 2Relating to the American statesman Alexander Hamilton or his doctrines.

    (美国政治家)汉密尔顿的;汉密尔顿主义的

    the Hamiltonian North
    Example sentencesExamples
    • More expansive still was the attitude towards Hamilton, again almost wholly in the North, that emerged from the carnage of the Civil War and the perception that Hamiltonian centralization would have prevented the war.
    • In turn, it should also be noted that both the Walpolean and the Hamiltonian views are remarkably similar to the view that lies behind France's or East Asia's postwar industrial policy.
    • The great statesmen of the first half of the 19th century, free traders to a man, were devoted to stopping the Hamiltonian power policy of executive power, entangling alliances and war, taxes and protectionism to benefit northern elites.
    • During the boom years of the 1960s, a period of soaring idealism about ‘the people’ generally, an almost Hamiltonian contempt for the public held sway on Wall Street.
    • US foreign policy during the 1990s was dominated by a conflict between Hamiltonian urges to build a global commercial order and Wilsonian desires to promote democracy and the protection of human rights.
nounˌhaməlˈtōnēən
  • 1Mathematics Physics
    A Hamiltonian operator or function.

    〔物理,数〕哈密顿算符;哈密顿函数

    Example sentencesExamples
    • For a massive particle in zero gravity moving in one dimension, the Hamiltonian is just the kinetic energy, which in terms of momentum, not velocity, is just.
    • Consider a system with a Hamiltonian which posses a quantum phase transition.
    • The interaction Hamiltonian is then diagonalized and the resulting stick spectrum is dressed with Gaussians to simulate homogeneous broadening.
    • Recently, Gonzalez and Maddocks performed a detailed theoretical analysis of the problem from the microscopic point of view where the probability measure is an exponential function of the Hamiltonian.
    • In particular if you try to use the mapping in this manner, you will end up creating qubit Hamiltonians with very nonlocal interactions.
  • 2A follower or adherent of Alexander Hamilton or his doctrines.

    (美国政治家)汉密尔顿的;汉密尔顿主义的

    Example sentencesExamples
    • I say this not to argue against ‘judicial review’ - I'm a Hamiltonian - but to question whether the ‘even one participant’ assertion is valid.
    • On the one hand there are the Hamiltonians who place a great deal of trust in the executive branch to execute policy in a good faith manner.
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