Eigenfunction Expansions Associated with the Schrodinger Operator with a Complex Potential and the Scattering Theory | Zendy

Kiyoshi Mochizuki | Zendy

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Eigenfunction Expansions Associated with the Schrodinger Operator with a Complex Potential and the Scattering Theory

Author(s) -

Kiyoshi Mochizuki

Publication year - 1968

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195194884

Subject(s) - eigenfunction , mathematics , schrödinger's cat , infinity , operator (biology) , mathematical physics , scattering , scattering theory , mathematical analysis , pure mathematics , eigenvalues and eigenvectors , quantum mechanics , physics , chemistry , biochemistry , repressor , transcription factor , gene

The present paper is devoted to a detailed description of the results summarized in the author's preceding note [1]. The purpose °f [1] was a generalization to the non-selfadjoint case of the eigenfunction expansion and the scattering theory developed by Povzner [2, 3], Faddeev [4], and Ikebe [5, 6] for the selfadjoint Schrodinger operator in the 3-dimensional Euclidean space E3. We shall study the operator L obtained by closure in L(E3) of the differential operator defined by

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