Scattering results for measure potentials with unbounded support | Zendy

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Scattering results for measure potentials with unbounded support

Author(s) -

Ford Richard

Publication year - 1994

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670171504

Subject(s) - eigenfunction , scattering , measure (data warehouse) , mathematics , matrix (chemical analysis) , operator (biology) , mathematical analysis , scattering theory , operator matrix , eigenvalues and eigenvectors , quantum mechanics , physics , computer science , biochemistry , materials science , chemistry , repressor , database , transcription factor , composite material , gene

The eigenfunction expansion theorem and its application to the scattering operator and the scattering matrix is extended to Schrödinger operators with measure potentials with unbounded support on ℝ n that are known to generate wave operators that are strongly complete. Analyticity conditions of the eigenfunctions and the scattering matrix are presented.

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