The Lyapunov Exponents for Schrödinger O
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Barry Simon; Yunfeng Zhu
📂
Article
📅
1996
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Elsevier Science
🌐
English
⚖ 521 KB
By studying the integrated density of states, we prove the existence of Lyapunov exponents and the Thouless formula for the Schro dinger operator &d 2 Âdx 2 +cos x & with 0<&<1 on L 2 [0, ). This yields an explicit formula for these Lyapunov exponents. By applying rank one perturbation theory, we al