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RESEARCH PRODUCT
On Computability of Decaying and Nondecaying States in Quantum Systems with Cantor Spectra
Ioannis AntoniouIoannis AntoniouZ. SuchaneckiZ. Suchaneckisubject
Physics and Astronomy (miscellaneous)General MathematicsAlgebraic number theoryComputabilitymedia_common.quotation_subjectType (model theory)Spectral lineQuantum mechanicsQuantum systemSimplicityConstant (mathematics)Quantummedia_commonMathematicsMathematical physicsdescription
We study Hamiltonians with singular spectra of Cantor type with a constant ratio of dissection. The decay properties of the states in such systems depend on the nature of the dissection rate that can be characterized in terms of the algebraic number theory. We show that in spite of simplicity of the considered model the computational modeling of nondecaying states is in general impossible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-10-01 | International Journal of Theoretical Physics |