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RESEARCH PRODUCT
Quantum systems with fractal spectra
Ioannis AntoniouIoannis AntoniouZ. SuchaneckiZ. SuchaneckiZ. Suchaneckisubject
General MathematicsApplied MathematicsAlgebraic number theoryComputabilityMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsType (model theory)Spectral lineFractalHigh Energy Physics::ExperimentConstant (mathematics)QuantumSubspace topologyMathematical physicsMathematicsdescription
Abstract We study Hamiltonians with singular spectra of Cantor type with a constant ratio of dissection and show strict connections between the decay properties of the states in the singular subspace and the algebraic number theory. More specifically, we study the decay properties of free n-particle systems and the computability of decaying and non-decaying states in the singular continuous subspace.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-10-01 | Chaos, Solitons & Fractals |