Weakly Coupled Schrödinger Operators on Regular Metric Trees

DOI10.1137/070682733zbMath1156.34074arXivmath-ph/0608013OpenAlexW2142187976MaRDI QIDQ3516114

Hynek Kovařík

Publication date: 1 August 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608013

zbMATH Keywords

Schrödinger operatorSturm-Liouville problemsmetric trees

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (4)

Schrödinger operators on regular metric trees with long range potentials: weak coupling behavior ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Weakly coupled bound states of Pauli operators ⋮ Eigenvalue estimates for Schrödinger operators on metric trees

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