Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice
Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov
Abstract
Eigenvalue behaviours of Schrödinger operator defined on n-dimensional lattice with n + 1 delta potentials are studied. It can be shown that lower threshold eigenvalue and lower threshold resonance appear for n≥2, and lower super-threshold resonance appears for n = 1.
Topics & Concepts
Eigenvalues and eigenvectorsMathematicsSchrödinger's catLattice (music)Operator (biology)Mathematical physicsResonance (particle physics)Mathematical analysisQuantum mechanicsPhysicsChemistryTranscription factorBiochemistryGeneAcousticsRepressorSpectral Theory in Mathematical PhysicsMatrix Theory and AlgorithmsQuantum chaos and dynamical systems