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The absence of the Efimov effect in systems of one- and two-dimensional particles by Barth, Simon; Bitter, Andreas; Vugalter, Semjon is a scholarly article available to read on EtoBox.

What is The absence of the Efimov effect in systems of one- and two-dimensional particles about?

We study virtual levels of $N$-particle Schr\"odinger operators and prove that if the particles are one-dimensional and $N\ge 3$, then virtual levels at the bottom of the essential spectrum correspond to eigenvalues. The same is true for two-dimensional particles if $N\ge 4$. These results are applied to prove the non-existence of the Efimov effect in systems of $N\ge 4$ one-dimensional or $N\ge 5$ two-dimensional particles.

Author

Barth, Simon; Bitter, Andreas; Vugalter, Semjon

Published

2020

Language

EN