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  • 1
    Electronic Resource
    Electronic Resource
    Fredholm determinants and inverse scattering problems (1976)
    Springer
    Communications in mathematical physics 47 (1976), S. 171-183 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Gel'fand-Levitan and Marchenko formalisms for solving the inverse scattering problem are applied together to a single set of scattering phase-shifts. The result is an identity relating two different types of Fredholm determinant. As an application of the method, an asymptotic formula of high accuracy is derived for a particular Fredholm determinant that determines the level-spacing distribution-function in the theory of random matrices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608375
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