2015/01/26 by Sara Di Martino, Paolo Facchi · 14 citations
Mathematics · Physics and Astronomy · #Bounded function #Classical mechanics #Computer science #Domain (mathematical analysis) #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum decoherence #Quantum dynamics #Quantum mechanics #Quantum system #Set (abstract data type) #Spacetime #Statistical physics #Theoretical physics #Unitarity #advanced mathematical theories #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1142/s0219887815600038
published in International Journal of Geometric Methods in Modern Physics 12(06), 1560003 (World Scientific) · 24 pages, 8 figures
arxiv created 2015/01/26 · openalex publication_date 2015/03/02 · arxiv updated 2015/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present here a set of lecture notes on quantum systems with time-dependent boundaries. In particular, we analyze the dynamics of a non-relativistic particle in a bounded domain of physical space, when the boundaries are moving or changing. In all cases, unitarity is preserved and the change of boundaries does not introduce any decoherence in the system.