complex line bundle
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2012 ◽  
Vol 29 (5) ◽  
pp. 345-357
Author(s):  
Alexander Vais ◽  
Benjamin Berger ◽  
Franz-Erich Wolter

1980 ◽  
Vol 35 (12) ◽  
pp. 1276-1284
Author(s):  
Herbert-Rainer Petry

Abstract The time-dependent scattering theory of charged particles on magnetic monopoles is investigated within a mathematical frame-work, which duely pays attention to the fact that the wave-functions of the scattered particles are sections in a non-trivial complex line-bundle. It is found that Möller operators have to be defined in a way which takes into account the peculiar long-range behaviour of the monopole field. Formulas for the scattering matrix and the differential cross-section are derived, and, as a by-product, a momentum space picture for particles, which are described by sections in the underlying complex line-bundle, is presented.


1971 ◽  
Vol 70 (3) ◽  
pp. 395-397 ◽  
Author(s):  
Harsh Pittie

Let X be a finite CW-complex, and ξ: Eξ → X a complex line-bundle on X. This bundle determines an element c1(ξ) in H2(X:Z) and a class ; let m(ξ), a(ξ) be the orders (possibly infinite) of these elements in their respective groups. How are m(ξ) and a(ξ) related? The answer is contained in the following three propositions.


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