• Physics
  • Published 2016

Holomorphic Anomaly and Quantum Mechanics

@inproceedings{Snchez2016HolomorphicAA,
  title={Holomorphic Anomaly and Quantum Mechanics},
  author={Santiago Codesido S{\'a}nchez and Marcos Mari{\~n}o Beiras},
  year={2016}
}
We show that the all-orders WKB periods of one-dimensional quantum mechanical oscillators are governed by the refined holomorphic anomaly equations of topological string theory. We analyze in detail the double-well potential and the cubic and quartic oscillators, and we calculate the WKB expansion of their quantum free energies by using the direct integration of the anomaly equations. We reproduce in this way all known results about the quantum periods of these models, which we express in terms… CONTINUE READING

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