Abstract
It has been predicted and numerically shown that the spectrum of the Hamiltonian H(P)= Sigma n in -( infinity infinity )(E(P,n) a nDaggeran+t(an+1 Daggeran+an-1Daggeran)), in which E(P,n)=V cos (P2 pi n) and P is an irrational number, has a fractal distribution of eigenstates. Using a self-referential decomposition of a pertinent class of quadratic irrationals, it is shown here that such a conclusion is viable.
Original language | English (US) |
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Article number | 032 |
Pages (from-to) | 285-287 |
Number of pages | 3 |
Journal | Journal of Physics A: General Physics |
Volume | 21 |
Issue number | 1 |
DOIs | |
State | Published - 1988 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics