Phys.org  April 26, 2024 Researchers in the Netherlands calculated the instanton corrections to energy spectra of one-dimensional quantum mechanical oscillators to all orders and unify them in a closed form transseries description. They clarified the resurgent structure of these transseries and demonstrated two approaches in which the Stokes constants could be derived. This formulated a minimal one-parameter transseries for the natural nonperturbative extension to the perturbative energy which captured the Stokes phenomenon in a single stroke. They derived these results in three models: quantum oscillators with cubic, symmetric double well and cosine potentials. In the latter two examples, they found […]