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- W2030800595 abstract "Scale-independent complementary bivariational principles in a complex Hilbert space are derived from the stationary principle. These principles consist of two scale-independent functionals which yield upper bounds and lower bounds, respectively, to both the real and the imaginary part of a particular quantity associated with an inhomogeneous linear equation. They have the advantage that one need only guess the form of solutions of the equation and its auxiliary equation, not their size. Moreover, for a given pair of trial functions, they yield better bounds than the scale-dependent complementary bivariational principles obtained by Barnsley and Baker. Their application to a scattering problem yields scale-independent complementary bivariational principles for the scattering amplitude as well as those for the total scattering cross section." @default.
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- W2030800595 date "1981-09-01" @default.
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- W2030800595 title "Scale-independent complementary bivariational principles in a complex Hilbert space, and their application to a scattering problem" @default.
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- W2030800595 doi "https://doi.org/10.1016/0022-247x(81)90248-1" @default.
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