Scale-independent complementary bivariational principles in a complex Hilbert space, and their application to a scattering problem

DOI10.1016/0022-247X(81)90248-1zbMath0497.49008MaRDI QIDQ1170744

Yasuyoshi Horibata

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationscattering amplitudecomplementary bivariational principlesscale independencescale invariant functionals

Mathematics Subject Classification ID

Variational inequalities (49J40) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Equations and inequalities involving linear operators, with vector unknowns (47A50) Existence theories for problems in abstract spaces (49J27) Scattering theory of linear operators (47A40) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (1)

Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind

Cites Work

• Unnamed Item
• New Extremum Principles for Linear Problems
• Bivariational bounds in a complex Hilbert space, and correction terms for Padé approximants
• New variational bounds on generalized polarizabilities

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