2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121939This short paper is based on the talk of the second author given at the 2005 Hayama Symposium on Complex Analysis in Several Variables. The recent results of the authors on the spectrum of quantum tubes are summarized.Differential GeometryMathematical PhysicsDiscrete spectrum of quantum tubestext