Derives concise Bohr-Sommerfeld quantization formulas with geometric phase corrections for general self-adjoint 2x2 semiclassical systems that exhibit eigenvalue crossings inside the enclosed phase-space curve.
Hirota, Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator, Journal of Mathematical Physics58 (2017), 102108
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Bohr--Sommerfeld rules for systems
Derives concise Bohr-Sommerfeld quantization formulas with geometric phase corrections for general self-adjoint 2x2 semiclassical systems that exhibit eigenvalue crossings inside the enclosed phase-space curve.