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pro vyhledávání: '"van Spaendonck, Alexander"'
One of the main applications of resurgence in physics is the decoding of nonperturbative effects through large order relations. These relations connect perturbative asymptotic expansions of observables to expansions around other saddle points. Togeth
Externí odkaz:
http://arxiv.org/abs/2312.12497
Publikováno v:
SciPost Phys. 16, 103 (2024)
We calculate the instanton corrections to energy spectra of one-dimensional quantum mechanical oscillators to all orders and unify them in a closed form transseries description. Using alien calculus, we clarify the resurgent structure of these transs
Externí odkaz:
http://arxiv.org/abs/2309.05700
For more than a century, the Painlev\'e I equation has played an important role in both physics and mathematics. Its two-parameter family of solutions was studied in many different ways, yet still leads to new surprises and discoveries. Two popular t
Externí odkaz:
http://arxiv.org/abs/2204.09062
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