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• W2162036341 abstract "The spectral determinant $D(E)$ of the quartic oscillator is known to satisfy a functional equation. This is mapped onto the $A_3$-related $Y$-system emerging in the treatment of a certain perturbed conformal field theory, allowing us to give an alternative integral expression for $D(E)$. Generalising this result, we conjecture a relationship between the $x^{2M}$ anharmonic oscillators and the $A_{2M-1}$ TBA systems. Finally, spectral determinants for general $|x|^{alpha}$ potentials are mapped onto the solutions of nonlinear integral equations associated with the (twisted) XXZ and sine-Gordon models." @default.
• W2162036341 created "2016-06-24" @default.
• W2162036341 creator A5038628329 @default.
• W2162036341 creator A5066384415 @default.
• W2162036341 date "1999-09-07" @default.
• W2162036341 modified "2023-10-14" @default.
• W2162036341 title "Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations" @default.
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• W2162036341 doi "https://doi.org/10.1088/0305-4470/32/38/102" @default.
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