Dept. Math, Hokkaido Univ. EPrints Server

Stability of Discrete Ground State

Preprint Series # 663
Miyao, Tadahiro and Sasaki, Itaru Stability of Discrete Ground State. (2004);

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We present new criteria for a self-adjoint operator to have a ground state. As an application, we consider models of ``quantum particles'' coupled to a massive Bose field and prove the existence of a ground state of them, where the particle Hamiltonian does not necessarily have compact resolvent.

Item Type:Preprint
Subjects:00-xx GENERAL
ID Code:430