Physical Applications of Group and Representation Theory: An Undergraduate Course Textbook
Physical Applications of Group and Representation Theory: An Undergraduate Course Textbook
批准号:
0125649
负责人:
Stephanie Singer
金额:
$7.48万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2002
资助国家:
美国
项目状态:
已结题
起止时间:
2002-03-15 至 2005-02-28
中文摘要
数学科学(21)。这个项目正在创造呈现氢原子结构和元素周期表的材料,作为表征理论在根据对称性信息预测物理现象方面的第一个例子。尽管表象理论在现代数学、数学物理和物理化学中处于中心地位,但表象理论的本科课程往往忽视了物理应用。在这一概念验证项目期间,在一些不同的机构对材料进行了测试,并将模块化方法纳入材料开发,以扩大材料对包括数学以外学科的受众的吸引力。一本关于表征理论的书正在计划中,而且已经与一家领先的出版商达成了安排。
英文摘要
Mathematical Sciences (21). This project is creating materials presenting the structure of the hydrogen atom and the periodic table as a first example of the power of representation theory in predicting physical phenomena from information about symmetries. Despite the centrality of representation theory to modern mathematics, mathematical physics and physical chemistry, undergraduate courses in representation theory often ignore the physical applications. During this proof-of-concept project materials are being tested at a number of different institutions, and a modular approach is being incorporated into the materials development so as to broaden the appeal of the materials to an audience that includes disciplines outside of mathematics . A book on representation theory is planned and an arrangement is already in place with a leading publisher.
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财政年份:1991
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