The absence of the Efimov effect in systems of one- and two-dimensional particles

Autor:	Simon Barth, Andreas Bitter, Semjon Vugalter
Rok vydání:	2021
Předmět:	FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Mathematics::Spectral Theory 81Q10 47A75 47N50 Mathematical Physics
Zdroj:	Journal of Mathematical Physics. 62:123502
ISSN:	1089-7658 0022-2488
DOI:	10.1063/5.0033524
Popis:	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. Comment: 51 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6432c03134be7455afa743c55ab7d33a https://doi.org/10.1063/5.0033524 Zobrazit plný text záznamu