PHYSICS101 Lecture Notes - Lecture 1: C-Symmetry, Conservation Law, Linear Map

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13 Jun 2022
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When studying quantum systems, exploiting knowledge about the inherent symmetries is usually an important step to take before addressing issues of dynamics [sch55, This motivates a discussion of group theory, and so we shall begin by summarizing some of the basic elements needed, particularly when discussing symmetries in particle and nuclear physics. More details can be found in specialized texts on the subject [ham62, clo79]. Specifically, in table 2. 1 are several important examples that are believed to be absolute symmetries and hence exact conservation laws. Some of these specific examples are discussed in more detail in what follows. Furthermore, there are symmetries that are not completely respected in nature, although characterizing the states used in terms of eigen states of these approximate symmetries often proves fruitful; some examples are given in table 2. 2. We shall be using all of these concepts throughout the book.

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