Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror

Details Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror

2012-01-29

arxiv.org/abs/1201.6014v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

Some novel TWO-body effects analogous to the well-known THREE-body Efimov effect are predicted. In the systems considered, particle A is constrained on a TRUNCATED or BENT one-dimensional line or two-dimensional plane, or on one side of a flat mirror in three dimensions (3D). The constraining potential is fine-tuned such that particle A's ground state wave function is a constant in the region in which it is constrained. Particle B moves in 3D and interacts with particle A resonantly. An infinite sequence of giant two-body bound states are found in each case.

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