Last Updated:2025/12/03
Sentence
ハミルトン力学では、位相空間座標の時間発展は、非特異な歪対称行列Ωに対してM^T Ω M = Ωを満たす2n×2n行列、すなわち標準的な二形式を保存するシンプレクティック行列によって表される。
Quizzes for review
In Hamiltonian mechanics, the time evolution of phase-space coordinates is represented by a symplectic matrix that preserves the canonical two-form.
See correct answer
In Hamiltonian mechanics, the time evolution of phase-space coordinates is represented by a symplectic matrix that preserves the canonical two-form.
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Related words
symplectic matrix
Noun
Japanese Meaning
シンプレクティック行列:線形代数における概念で、例えば実数体などの与えられた体F上で、偶数次元(2n)の非特異な反対称行列Ωが与えられた場合に、転置行列を用いてMᵀΩM=Ωとなる性質を持つ2n×2n行列のこと。
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