旋量理论导论
2003-4
世界图书出版公司
Moshe Carmeli,Shimon Malin
212
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旋量理论在场论、粒子物理、相对论等领域有着广泛的应用。本书是一本介绍旋量及其群表示的理论和应用的研究生教材。书中前三章介绍了群论、表示论、洛仑兹群和SL(2,C)群，四至八章依次介绍了二分量旋量，麦克斯韦、狄喇克和泡利旋量，引力场旋量、规范场旋量、欧几里得规范场旋量等内容。 读者对象：理论物理和数学专业的大学教师、高年级大学生、研究生及相关领域的研究人员。
Preface1 Introduction to Group Theory1.1 Review of Group Theoy1.2 The Pure Rotation Group SO1.3 The Special Unitary Group SU1.4 Invariant Interals over Groups1.5 Problems1.6 References for Further Reading2 Representation Theory2.1 Some Bais Concepts2.2 Repressntations of SO and SU2.3 Matirx Elements of Representations2.4 Differential Operrtor of Rotations2.5 Infinite-Dimensional Representaions2.6 References for Further Reading3 The Lorentz and SL Groups3.1 Elements of Special Relativity3.2 The Lrentz Group3.3 The Infinitesimal Approach3.4 The Group Sl and the Lorentz Group3.5 Problems3.6 Referces for Further Reading4 Two-Component Spinors4.1 Spinor Represntation of SL4.2 Operatiors of the Spinor Representation4.3 Infinite-Dimensional Spionors4.4 Problems4.5 Refernces for Further Reading5 Maxwell,Dirac and Paluli Spinors6 The Gravitational Field Spinors7 The Gauge Field Spinors8 The Euclidean Gauge Field SpinorsIndex
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