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

R. Iasnogorodski; V. Malyshev; A. Zamyatin

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arXiv · 1812.10507

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

R. Iasnogorodski·V. Malyshev·A. Zamyatin

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Abstract

We consider 3 particles on ${\bf Z}{}_{+}$. One of them has infinite mass and stands still at $0$. The particles interact only if all of them are at the point $0$. We give a full description of essential, point and discrete spectra of the corresponding hamiltonian.

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R. Iasnogorodski, V. Malyshev, A. Zamyatin. 2018-12-26. Restricted three particle quantum walk on ${\bf Z_{\bf +}}$: explicit solution. https://arxiv.org/abs/1812.10507

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