Non-perturbative formulation of resonances in quantum mechanics based on exact WKB method
- URL: http://arxiv.org/abs/2503.18741v2
- Date: Fri, 28 Mar 2025 04:57:52 GMT
- Title: Non-perturbative formulation of resonances in quantum mechanics based on exact WKB method
- Authors: Okuto Morikawa, Shoya Ogawa,
- Abstract summary: We study quasi-stationary states in quantum mechanics using the exact WKB analysis as a non-perturbative framework.<n>We analyze the inverted Rosen--Morse potential, which exhibits barrier resonance.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study quasi-stationary states in quantum mechanics using the exact WKB analysis as a non-perturbative framework. While previous works focus mainly on stable systems, we explore unstable states such as resonances. As a concrete example, we analyze the inverted Rosen--Morse potential, which exhibits barrier resonance. This model allows exact solutions, enabling a direct comparison with exact WKB predictions. We provide a simple analytic picture of resonance and demonstrate consistency between exact and WKB-based results, extending the applicability of exact WKB analysis to non-polynomial potentials.
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