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For a one dimensional half-infinite chain with diagonal disorder wecalculated the ultimate at $t\to\infty$ value of the average excitation densityat the edge site $D$ if at $t=0$ the excitation was localised at the edge site(Anderson' s creterium). We obtained the following results: i) for the binarydisordered chain we derived the close expression for $D$ which is exact in thelimit of low concentration of defects and is valid for an arbitrary energy ofdefects $\varepsilon$. In this case $D$ demonstrated the non analyticaldependence on $\varepsilon$. ii) The close expression for $D$ is obtained forthe case of an arbitrary small disorder. iii) The relative contribution ofstates with specified energy to $D$ is calculated. All the results obtained arein complete agreement with computer simulation.

Calculation of Anderson localization criterium for a one dimensional chain with diagonal disorder