The Renormalization Group method for simple operator problems in quantum mechanics
I.L. Egusquiza, M.A. Valle-Basagoiti
TL;DR
This paper introduces a novel application of Renormalization Group techniques to operator problems in quantum mechanics, demonstrating its effectiveness on simple models like the anharmonic oscillator and quantum parametric resonance.
Contribution
It adapts Renormalization Group methods for the first time to operator problems in quantum mechanics, providing a new analytical approach.
Findings
Successful application to quantum anharmonic oscillator
Effective analysis of quantum parametric resonance
Demonstrates the versatility of RG techniques in quantum operator problems
Abstract
A simple backreaction problem in quantum mechanics, the full quantum anharmonic oscillator, and quantum parametric resonance are studied using Renormalization Group techniques for global asymptotic analysis. In this short note this technique is adapted for the first time to operator problems.
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