English

Restricted three particle quantum walk on ${\bf Z_{\bf +}}$: explicit solution

Mathematical Physics 2018-12-31 v1 math.MP

Abstract

We consider 3 particles on Z+{\bf Z}{}_{+}. One of them has infinite mass and stands still at 00. The particles interact only if all of them are at the point 00. We give a full description of essential, point and discrete spectra of the corresponding hamiltonian.

Cite

@article{arxiv.1812.10507,
  title  = {Restricted three particle quantum walk on ${\bf Z_{\bf +}}$: explicit solution},
  author = {R. Iasnogorodski and V. Malyshev and A. Zamyatin},
  journal= {arXiv preprint arXiv:1812.10507},
  year   = {2018}
}

Comments

24 pages

R2 v1 2026-06-23T06:56:45.423Z