Hamilton's Principle from a Quantal Point of View

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概要

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• Hamilton's principle of stationary action is reexamined from the standpoint that classical mechanics is to represent a formal limit of quantum mechanics for Planck's constant tending to zero. Here the action denotes the time integral of the Lagrangian over a finite interval of time. On the basis of the composition law for quantal transformation functions and its classical limit we conclude that the ordinary variational calculus may be simplified to the functional differential calculus and moreover that the interval of the time integral should be infinitely long ranging from unlimited past to unlimited future in order for the principle to conform to the ideal of classical determinism.

• 理論物理学刊行会の論文
• 1967-07-25

著者

• Fujiwara Izuru

  Institute Of Theoretical Physics Norwegian Institute Of Technology : Department Of Physics Universit

関連論文

• Hamilton's Principle from a Quantal Point of View

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