Baxter operator and Baxter equation for $q$-Toda and Toda${}_2$ chains

O. Babelon, K. K. Kozlowski, V. Pasquier

We construct the Baxter operator $\text{Q}(\lambda )$ for the $q$-Toda chain and the Toda${}_2$ chain (the Toda chain in the second Hamiltonian structure). Our construction…