Exact WKB analysis produces median-summed spectra and an algebraic equation for the exceptional point of PT-symmetry breaking in the inverted triple-well system.
Exact quantization conditions and full transseries structures for PT symmetric anharmonic oscillators
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The authors construct explicit closed quantization contours encircling the origin for radial Schrödinger problems and use a logarithmic coordinate change to equate closed-cycle and open-connection quantization while incorporating the Maslov phase via renormalization-group arguments.
Presents explicit trans-series calculations for the double-well spectrum via exact WKB and path integral approaches up to four-instanton level.
citing papers explorer
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Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence
Exact WKB analysis produces median-summed spectra and an algebraic equation for the exceptional point of PT-symmetry breaking in the inverted triple-well system.
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Exact WKB method for radial Schr\"odinger equation
The authors construct explicit closed quantization contours encircling the origin for radial Schrödinger problems and use a logarithmic coordinate change to equate closed-cycle and open-connection quantization while incorporating the Maslov phase via renormalization-group arguments.
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The Double Well Done Doubly-Well
Presents explicit trans-series calculations for the double-well spectrum via exact WKB and path integral approaches up to four-instanton level.