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As far as we know, the eigenvalues of the complex Hamiltonian matrix are symmetric about the imaginary axis, and the eigenvalues of the real Hamiltonian matrix are symmetric about the imaginary axis and symmetric about the real axis.

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Symplectic Self-adjointness of Infinite-Dimensional Hamiltonian Operators

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  • 发表日期：

    2026年

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  • Alatancang Chen,
  • Deyu Wu,
  • Junjie Huang,
  • Guolin Hou

摘要

As far as we know, the eigenvalues of the complex Hamiltonian matrix are symmetric about the imaginary axis, and the eigenvalues of the real Hamiltonian matrix are symmetric about the imaginary axis and symmetric about the real axis.