Accession Number : ADA116165

Title :   An Analytical, One-Parameter Family of Self-Adjoint Boundary Conditions for Schroedinger Operators on an Interval.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Sachs,Robert L

PDF Url : ADA116165

Report Date : Apr 1982

Pagination or Media Count : 9

Abstract : A one-parameter family of real, homogeneous boundary conditions on the interval 0,1, under which the operator -d2/dx2 is self-adjoint, is constructed. The relation between such boundary conditions and Lagrangian planes in R4 is used and the resulting circle of boundary conditions is seen to include Dirichlet, Neumann, periodic, antiperiodic, and several other well-known examples. (Author)

Descriptors :   *Operators(Mathematics), *Lagrangian functions, *Boundaries, Homogeneity, Dirichlet integral, Parameters, Deformation, Matrices(Mathematics)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE