七维Kaluza－Klein理论和瞬子

本文应用“Ｋ不变”的约化方法详细探讨了以Ｓ７为流形的七维Ｋａｌｕｚａ－Ｋｌｅｉｎ理论，并应用数学上的一个结果指出了Ｓ７上确实存在着满足场方程的度规。这一模型为研究Ｋａｌｕｚａ－Ｋｌｅｉｎ理论中的拓扑非平庸结构提供了范例。     

S.Coleman和C.G.Callan量子力学传播波幅的量子隧道解释与瞬子解释

本文对S．Coleman和C．G．Callan，Jr的量子力学传播波幅［1］［2］其量子隧道解释与瞬子解释，作了详细的说明．     

Of connections and fields—II

In the first part of this article¹ we gave an elementary introduction to Chern’s ideas and their impact on modern physics. In this concluding article we describe some more advanced applications of Chern’s ideas. This second part is some-what more demanding than the first part and is addressed to students with some background in mathematics and physics. Joseph Samuel is a theoretical physicist and by natural inclination a classical mechanic. Over the years he has strayed into other fields like optics, general relativity and very recently DNA elasticity. A unifying theme in his work is differential geometry and topology in physics. He keeps moderately fit by raising and lowering indices and relaxes by playing semiclassical guitar.