Is it possible to interpret quantization in atomic physics ( e.g. the quantization condition in hydrogen atom stated as exponential decay of wave functions at infinity and analogously for n-electron atoms) as Poisson quantization (e.g. in the sense of Kontsevich, or some other version)?
EDIT: As per answer below, some clarification. Wave functions of hydrogen are confluent hypergeometric functions. They have essential singularity at infinity and quantization is a statement about position of Stokes lines. There is a lot of relationship between Stokes structure, Poisson manifolds, quantum groups, Frobenius maifolds, etc. and hypergeometric functions, as e.g. in Xu Toledano-Laredo https://arxiv.org/abs/2202.10298 , Dubrovin, https://arxiv.org/abs/1706.04808 , Boalch,https://arxiv.org/abs/0806.1050 , Bridgeland,... My question is: is it possible to identify Poisson manifold, Stokes data, and perhaps some additional structure so that it is possible to interpret the wave functions and the quantization condition precisely as quantization in these terms?
