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On eigenvalues in the continuum of 2-body or many-body Schrödinger operators

Published online by Cambridge University Press:  22 January 2016

Kiyoshi Mochizuki  and
Jun Uchiyama
Kiyoshi Mochizuki
Affiliation:
Department of Mathematics, Nagoya Institute of Technology
Jun Uchiyama
Affiliation:
Department of Mathematics, Kyoto University of Industrial, Arts and Textile Fibres
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Let us consider the following two problems.

(A) Does either

or

hold for the not identically vanishing solution of the equation

for x ∈ Ω ⊂ Rn (n ≥ 3), where λ is a constant satisfying λ > E0 and V(x) is a 2-body or many-body potential?

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978 , pp. 125 - 141
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

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