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表象理论的新探讨

NEW RESEARCH OF THE REPRESENTATION THEORY
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摘要 现在的量子力学理论,由于态空间的定义不正确,因而存在不自洽性,特别是表象理论的数学表述不能确切反映物理内容。本文在作者重新定义的态空间S里,明确地,无矛盾地把表象变换表述为S的空间的被动线性变换,并同时推广了矩阵代数方法。 In the theorical system of quantum mechanics Self-contradictions have arisen be cause of incorrect definition of the state space, especilly the mathematical descriptions of the representation theory can not express the physical substances precisely. In this paper following efforts have been made: (ⅰ) the representation transformation has been descrribed unambiguously as passive Linear transformation in a state space S which had been redefined by author; (ⅱ) the matrix algebra is generalized.
出处 《云南师范大学学报(自然科学版)》 1992年第1期6-12,共7页 Journal of Yunnan Normal University:Natural Sciences Edition
关键词 表象理论 有限δ函数 广义单位矩阵 finiteδ-function generalized unit matrix
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