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Bohr—Sommerfeld Levels for Quantum Completely Integrable Systems

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Abstract

In this paper we will show how the Bohr-Sommerfeld levels of a quantum completely integrable system can be computed modulo O(ħ∞) by an inductive procedure starting at stage zero with the Bohr-Sommerfeld levels of the corresponding classical completely integrable system.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Victor Guillemin

  2. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P. R. China

    Zuo Qin Wang

Authors
  1. Victor Guillemin
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  2. Zuo Qin Wang
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Corresponding author

Correspondence to Zuo Qin Wang.

Additional information

Supported by the National Key R and D Program of China (Grant No. 2020YFA0713100) and NSFC (Grant Nos. 12026409, 11721101, 11926313)

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Guillemin, V., Wang, Z.Q. Bohr—Sommerfeld Levels for Quantum Completely Integrable Systems. Acta. Math. Sin.-English Ser. 37, 1743–1750 (2021). https://doi.org/10.1007/s10114-021-0148-5

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  • DOI: https://doi.org/10.1007/s10114-021-0148-5

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