New results on the moments of the eigenvalues of the Schrödinger Hamiltonian and applications | Zendy

A. Martin | Zendy

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New results on the moments of the eigenvalues of the Schrödinger Hamiltonian and applications

Author(s) -

A. Martin

Publication year - 1990

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/bf02096784

Subject(s) - eigenvalues and eigenvectors , hamiltonian (control theory) , mathematics , schrödinger's cat , mathematical physics , upper and lower bounds , mathematical analysis , quantum mechanics , physics , mathematical optimization

We show that the moments of order γ of the eigenvalues of the Schrödinger Hamiltonian inn dimensions can be related to moments of order less than or equal to γ-1/2 inn+1 dimensions. This makes it possible to improved the bounds on the sum of the eigenvalues in three dimensions and consequently the Lieb-Thiirng bound on the binding energy of matter.

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