= Almost Mathieu operator
{wiki=Almost_Mathieu_operator}
The Almost Mathieu operator is a significant example of a quasi-periodic Schrödinger operator in mathematical physics and condensed matter theory. It describes a quantum mechanical system in which a particle is subjected to a periodic potential that is modulated by an irrational rotation. Mathematically, the Almost Mathieu operator can be expressed on a Hilbert space of square-summable functions, typically defined on the integers.
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