2024/03/20 by Jarah Evslin, Evslin, Jarah, Kehinde Ogundipe +1
Biochemistry, Genetics and Molecular Biology · Chemistry · Computer Science · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Dynamics and Pattern Formation #Photochemistry and Electron Transfer Studies #Photosynthetic Processes and Mechanisms
paper · pdf · doi:10.48550/arxiv.2403.13232
openalex publication_date 2024/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently we have introduced a lightweight, perturbative approach to quantum solitons. Thus far, our approach has been largely limited to configurations consisting of a single soliton plus a finite number of mesons, whose classical limit is an isolated stationary or rigidly moving soliton. In this paper, with an eye to soliton collisions and oscillons, we generalize this approach to quantum states whose classical limits are genuinely time-dependent. More precisely, we use a unitary operator, inspired by the coherent state approach to solitons, to factor out the nonperturbative part of the state, which includes the classical motion. The solution for the quantum state and its evolution is then reduced to an entirely perturbative problem.