The Asymptotics of the Gap in the Mathieu Equation
نویسندگان
چکیده
We provide a simple proof that the kth gap, A *, for the Mathieu operator-dz/dxs + 2~ cos (2x) is A& = 8(~/4)* [(k-l)!]-* (1 + o(k-s)), a result obtained (up to the value of an integral) by Harrell. The key observation is that what is involved is tunneling in momentum space.
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