Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets

DOI10.1088/1751-8121/acfe63MaRDI QIDQ6060192

Kazuo Takatsuka

Publication date: 3 November 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

diffractionGaussian wavepacketsemiclassicswave bifurcationcoherent-state waveletsproliferation of wavepacketsquantum Huygens principle

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Diffusion processes (60J60) Path integrals in quantum mechanics (81S40) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) General theory of random and stochastic dynamical systems (37H05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46) Particle decays (81U90) Tunneling in quantum theory (81U26)

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