Last Updated
：2025/12/03
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。
（ plural ）
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(linear algebra) For given field F (especially the real numbers), even order 2n and nonsingular skew-symmetric matrix Ω, any 2n×2n matrix M with elements in F such that MᵀΩM = Ω (where Mᵀ denotes the transpose of M).
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symplectic matrix
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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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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