Analysis of Quartic Potential Problems Using Fredholm Integral Operators with Airy Functions
hep-th, cond-mat.stat-mech, math-ph, math.MP, quant-ph
Submitted: 2026-03-02
Updated: 2026-10-01
Comments: 23 pages, 1 table. V5 has typos corrected, references added, phase transition noted, expanded discussion, and other minor changes
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Uncommonly accurate energies for the general quartic oscillator
- Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations
- Airy function (exact WKB results for potentials of odd degree)
- Bootstrapping Matrix Quantum Mechanics
- Quantum Mechanical Out-Of-Time-Ordered-Correlators for the Anharmonic (Quartic) Oscillator
- Anharmonic oscillator: a solution
- Comment on: Uncommonly accurate energies for the general quartic oscillator, Int. J. Quantum Chem., e26554 (2020), by P.Okun and K.Burke
- From quartic anharmonic oscillator to double well potential
- An anharmonic alliance: exact WKB meets EPT
- Analytic Model for the Energy Spectrum of the Anharmonic Oscillator
- Convergent perturbative series via finite path integral limits: application to energy at strong coupling of the anharmonic oscillator
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