Memory in a nonlocally damped oscillator

2007/07/09 by Dariusz Chruściński, Chruscinski, Dariusz, Jacek Jurkowski +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0707.1199

openalex publication_date 2007/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the new equation of motion for the damped oscillator. It differs from the standard one by a damping term which is nonlocal in time and hence it gives rise to a system with memory. Both classical and quantum analysis is performed. The characteristic feature of this nonlocal system is that it breaks local composition low for the classical Hamiltonian dynamics and the corresponding quantum propagator.

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