{
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  "authors": [
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      "affiliations": [
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          "country": "USA", 
          "value": "Jefferson Physical Laboratory, Harvard University, 17 Oxford st., Cambridge, MA, 02138, USA", 
          "organization": "Harvard University"
        }
      ], 
      "surname": "Gabai", 
      "email": "bgabai@g.harvard.edu", 
      "full_name": "Gabai, Barak", 
      "given_names": "Barak"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Jefferson Physical Laboratory, Harvard University, 17 Oxford st., Cambridge, MA, 02138, USA", 
          "organization": "Harvard University"
        }
      ], 
      "surname": "Yin", 
      "email": "xiyin@g.harvard.edu", 
      "full_name": "Yin, Xi", 
      "given_names": "Xi"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Exact quantization and analytic continuation"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP03(2023)082"
    }
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  "publication_info": [
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      "page_end": "33", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2023", 
      "artid": "JHEP03(2023)082", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "3"
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    "submission_number": "40dbafc0122611ee91ac6ee2827c7def"
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  "page_nr": [
    33
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  "license": [
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      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
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  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
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  "control_number": "76368", 
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  "collections": [
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      "primary": "Journal of High Energy Physics"
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  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "math-ph", 
        "math.MP"
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      "value": "2109.07516"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schr\u00f6dinger problem in one dimension with a general polynomial potential, based on Wronskian relations. We further generalize the EQC to potentials with a regular singularity, describing spherical symmetric quantum mechanical systems in a given angular momentum sector. We show that the thermodynamic Bethe ansatz (TBA) equations that govern the quantum periods undergo nontrivial monodromies as the angular momentum is analytically continued between integer values in the complex plane. The TBA equations together with the EQC are checked numerically against Hamiltonian truncation at real angular momenta and couplings, and are used to explore the analytic continuation of the spectrum on the complex angular momentum plane in examples."
    }
  ], 
  "imprints": [
    {
      "date": "2023-03-13", 
      "publisher": "Springer"
    }
  ]
}