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PreprintCC BY-NC-SA 4.0arXiv

Is there an accelerating nonspreading wave packet in the Schrödinger equation with higher even-order dispersions?

  • Farrell Theodore Adriano
  • Hadi Susanto
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Abstract

Probably not. For Airy-type initial data, although nearly all lobes accelerate, the principal lobe remains essentially stationary. Moreover, the overall wave packet gradually disperses.

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Cite

BibTeXRIS
BibTeX
@misc{adriano2026there,
  title = {{Is there an accelerating nonspreading wave packet in the Schrödinger equation with higher even-order dispersions?}},
  author = {Farrell Theodore Adriano and Hadi Susanto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25799},
  eprint = {2609.25799},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25799},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Is there an accelerating nonspreading wave packet in the Schrödinger equation with higher even-order dispersions?
AU  - Farrell Theodore Adriano
AU  - Hadi Susanto
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25799
UR  - https://arxiv.org/abs/2609.25799
AB  - Probably not. For Airy-type initial data, although nearly all lobes accelerate, the principal lobe remains essentially stationary. Moreover, the overall wave packet gradually disperses.
ER  -