Fifty Years of Mathematical Physics: Selected Works of Ludvig Faddeev
Faddeev presents facsimiles of 40 of his technical papers, and introduces each section with an explanation of the context and purpose of his work in that area of mathematical physics.
Since the developments of the Faddeev (33) and the Faddeev-Yakubovsky (34) methods to solve the 3- and the 4-body Schrodinger equations, respectively, in the form of integral equations, they have been successfully applied in many regions of few body physics because of their nature to give rigorous wave functions under assumed two-body interactions.
In the present Faddeev and Faddeev-Yakubovsky calculations, we put emphasis on the derivation and detailed analysis of the wave functions.
K]-nuclear systems, we performed 3-body and 4-body calculations with separable pair potentials in the non-relativistic Faddeev and Faddeev-Yakubovsky formalisms.
Vortices with fractional flux in two-gap superconductors and in extended Faddeev
Reiner (16) developed a calculation method based on the Faddeev equations for the quantum-mechanical three-body problem, but the difficulties in solving the coupled integral equations could not be overcome, and approximations were required.
Reiner, Application of Faddeev techiques to the quantum theory of the third virial coefficient, Phys.
, Integrable models in (1+1)-dimensional quantum field theory, Les Houches Lecturesr, North-Holland/Elsevier, Amsterdam, 1982, pp.
, Quantization of Lie groups and Lie algebras, Algebra and Analyis (1989), 178-206.
Ludwig Faddeev of the Steklov Mathematical Institute in St.
Our results point to several experimental and theoretical situations where such structures may be relevant, ranging from defects in liquid crystals and vortices in superfluid helium to the structure-forming role of cosmic strings in the early universe," Niemi and Faddeev say.