旋量理論導(dǎo)論

內(nèi)容概要

　　旋量理論在場(chǎng)論、粒子物理、相對(duì)論等領(lǐng)域有著廣泛的應(yīng)用。本書(shū)是一本介紹旋量及其群表示的理論和應(yīng)用的研究生教材。書(shū)中前三章介紹了群論、表示論、洛侖茲群和SL(2,C)群，四至八章依次介紹了二分量旋量，麥克斯韋、狄喇克和泡利旋量，引力場(chǎng)旋量、規(guī)范場(chǎng)旋量、歐幾里得規(guī)范場(chǎng)旋量等內(nèi)容?！　∽x者對(duì)象：理論物理和數(shù)學(xué)專業(yè)的大學(xué)教師、高年級(jí)大學(xué)生、研究生及相關(guān)領(lǐng)域的研究人員。

書(shū)籍目錄

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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