languor 发表于 2025-3-23 13:28:28
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Introduction to Lie Groups and Their Representations,collection of general notions which apply both to finite and infinite groups,we shall consider the properties of the Lie groups and their representations.We shall avoid mathematical rigour and completeness and, in order to clarify the main aspects, we shall make use of specific examples.degradation 发表于 2025-3-23 22:35:59
The Rotation Group, The group SO(3) is an important subgroup of the Lorentz group, which will be considered in the next Chapter, and we think it is useful to give a separate and preliminary presentation of its properties. After a general discussion of the general characteristics of SO(3) and SU(2), we shall consider tabduction 发表于 2025-3-24 03:02:47
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Discrete Operations,n previously, belong to the complete Lorentz and Poincar´e groups L and P. The transformation properties of the one- and two-particle states under these operations will be analyzed, and their physical implications will be discussed.ordain 发表于 2025-3-24 12:45:34
Unitary Symmetries,and their representations. Their role has been extremely important in the investigation of the particle interactions, since they led to the discovery of hidden symmetries and new invariance principles which have, in general, no analogues in classical physics and which provide the basic frame for all多余 发表于 2025-3-24 17:23:13
Gauge Symmetries,s; in other words, the global transformations considered up to now, in which the group parameters are space-time constants, are replaced by local ones. The gauge groups are extensively used in quantum field theory and, specifically, in the field theory of elementary particles.observatory 发表于 2025-3-24 21:12:09
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Book 2012apable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of