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We derive the Thermodynamic Bethe Ansatz (TBA) equations for the Schr\"odinger equation with an arbitrary polynomial potential and a regular singular (simple and double pole) term.
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P. Dorey, C. Dunning and R. Tateo, “The ODE/IM Correspondence,” J. Phys. A 40
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P. Dorey, C. Dunning, D. Masoero, J. Suzuki and R. Tateo, “Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras,” Nucl. Phys. B 772
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J. Suzuki, “Elementary functions in Thermodynamic Bethe Ansatz,” J. Phys. A 48
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A. Gorsky and A. Milekhin, “RG-Whitham dynamics and complex Hamiltonian systems,” Nucl. Phys. B 895
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J. Toledo. 2016. Exact results in QFT: minimal areas and maximal couplings, Ph.D. thesis, University of Waterloo, Waterloo, ON, Canada
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K. Ito and H. Shu, “ODE/IM correspondence and the Argyres-Douglas theory,” JHEP 1708
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