Trace formulas for the modified Mathieu equation (Q2055128)

Summary: For the radial and one-dimensional Schrödinger operator \(H\) with growing potential \(q(x)\) we outline a method of obtaining the trace identities -- an asymptotic expansion of the Fredholm determinant \(\mathrm{det}_F(H-\lambda I)\) as \(\lambda\to-\infty\). As an illustrating example, we consider Schrödinger operator with the potential \(q(x)=2\cosh 2x\), associated with the modified Mathieu equation. For the entire collection see [Zbl 1465.35005].