On the ground state for quantum graphs

被引：15

作者：

Kurasov, Pavel ^{[1
]}

机构：

[1] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2019年 / 109卷 / 11期

关键词：

Quantum graphs; Positivity preserving semigroups; Ground state;

D O I：

10.1007/s11005-019-01192-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Ground-state eigenfunctions of Schrodinger operators can often be chosen positive. We analyse to which extent this is true for quantum graphs-differential operators on metric graphs. It is shown that the theorem holds in the case of generalised delta couplings at the vertices-a new class of vertex conditions introduced in the paper. It is shown that this class of vertex conditions is optimal. Relations to positivity preserving and positivity improving semigroups are clarified.

引用

页码：2491 / 2512

页数：22

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