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威士氏场论之讨论

张宗燧

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威士氏场论之讨论

张宗燧

ON WEISS'S THEORY OF FIELDS

T. S. CHANG
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  • 对於一曲面上之施落亭格波函数在曲面变化时所发生之变化,威士氏有一理论。今将其理论补充,使其完整,使此理论,在场之兰格伦日包含场量之各种微分时,依然可用。所获得之方程式之可积分性,用与其相当之哈密尔顿—雅科俾方程式之可积分性证明之。此种讨论,同时证明各种变数中之对换关系在罗兰丝变化下之不变性。
    Weiss's theory on the change of Schr?dinger wave functional on a surface as the surface changes is given in a complete form, allowing the Lagrangian of the field to contain all derivatives of the field quantities. The integrability of the resulting equation is proved by making use of the fact that the corresponding Hamilton-Jacobi equation is integrable. This gives at the same time a proof of the Lorentz invariancy of the commutation relations between the various conjugate variables, which so far remained obscure as soon as we allow derivatives higher than the second of the field quantities to appear in the Lagrangian.
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出版历程
  • 收稿日期:  1949-02-26
  • 刊出日期:  1949-02-05

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