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- W2414980501 abstract "We analyze the propagation dynamics of nonspreading wave packets by decomposing the Hamiltonian H into two parts: H = □(t) + H_c(t). The first part □(t) is such that Ψ(x, t) is its instantaneous eigenstate, and is therefore irrelevant to the propagation of the packet. The second part H_c(t) is shown to be the effective Hamiltonian governing the propagation dynamics of nonspreading wave packets both quantum mechanically and classically. The Ehrenfest theorem is thus based on the Hamiltonian H_c(t) connecting quantum mechanics and classical mechanics. This analysis also works for non-square-integrable packets, such as Airy packets, and explains why Airy packets can self-accelerate in free space." @default.
- W2414980501 created "2016-06-24" @default.
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- W2414980501 date "2014-10-01" @default.
- W2414980501 modified "2023-09-23" @default.
- W2414980501 title "The Effective Hamiltonian and Ehrenfest Theorem in the Propagation Dynamics of Nonspreading Wave Packets" @default.
- W2414980501 doi "https://doi.org/10.6122/cjp.20140504" @default.
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