On an Abstract Differential Equation and Its Application to Positive Eigenvalues of Schrödinger Operators | Zendy

M. W. Wong | Zendy

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On an Abstract Differential Equation and Its Application to Positive Eigenvalues of Schrödinger Operators

Author(s) -

M. W. Wong

Publication year - 1984

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195181107

Subject(s) - mathematics , eigenvalues and eigenvectors , hilbert space , operator (biology) , mathematical analysis , differential operator , differential equation , order (exchange) , pure mathematics , quantum mechanics , physics , biochemistry , chemistry , finance , repressor , transcription factor , economics , gene

A second order differential equation in Hilbert space is shown to have only trivial solutions. This functional analytic result is then used to derive an upper bound for the set of positive eigenvalues of the one-body Schrodinger operator.

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