By John H. Schwarz

ISBN-10: 0521412536

ISBN-13: 9780521412537

Professor Murray Gell-Mann is among the such a lot influential and exceptional scientists of the 20th century. His paintings on symmetries, together with the discovery of the "quark," within the Nineteen Fifties and early Nineteen Sixties supplied the root for far of contemporary particle physics. His contribution to the sector earned him the Nobel Prize for Physics in 1969. This ebook is a set of analysis articles by way of eminent scientists written in particular to rejoice Gell-Mann's sixtieth birthday, in September 1989. the most physique of contributions is anxious with theoretical particle physics and its functions to cosmology, and comprises papers through such notables as J. Hartle, E. Witten, H. Fritzsch, T.D. Lee, I.M. Singer, V. Telegdi, and a few own feedback by means of A. Salam and M.L. Goldberger.

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Note, however, that the decoupling of magnetic and electric phenomena is only an apparent one because currents are due to charges which are in motion. As soon as the electric and magnetic quantities become time dependent, all phenomena intermix. This is why one talks about electromagnetic processes, with “electromagnetic” in one term. 45) plays a fundamental role: It guarantees that electromagnetic oscillations in the vacuum always satisfy the relation ! 2 D k 2 c 2 between the circular frequency !

It is then not difficult to show that the operator d. d /, which is different from . 47c): X 1 @i r A dx i : d. d / ! A D i The combined operation d of exterior derivative and double dualizing appears in the definition of what is called the codifferential. In dimension n, and applied to a k form, it reads as follows. 1 Codifferential and Laplace–de Rham operator If d denotes the exterior derivative, and if denotes the Hodge dual on Rn , then the codifferential applied to an arbitrary smooth k-form is defined by ı WD .

46c) To get a feeling for orders of magnitude, it is instructive to express the mass of a very heavy nucleus in units used in daily trading, or to express electric fields which are typical for atoms, in units which are familiar to an electrician, cf. 4. I Remarks 1. In the theory of relativity and in elementary particle physics, it is customary to use so-called natural units. These are chosen such that the velocity of light c and Planck’s constant (divided by 2 ) take the value 1: cD1; „Á h D1: 2 The reader who is not familiar with this choice may wish to consult [QM], Sect.

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