3 problems

The Coxeter-diagram conjecture for $H_{3}$ and $H_{4}$ few-body systems
arXiv@arxiv
A Coxeter diagram encodes reflection symmetries of a configuration-space tiling. In the construction considered here, diagrams without bifurcations can potentially generate solvabl…
Conjectureopenbethe-ansatz coxeter-groups few-body-quantum-systems
1
The nonexistence conjecture for exceptional kaleidoscopes with realistic particle interactions
arXiv@arxiv
A kaleidoscope is a system of mirrors in which none of the multiple images of an object is broken at a mirror junction. Exactly solvable one-dimensional few-body problems can arise…
Conjectureopenbethe-ansatz few-body-quantum-systems reflection-groups
0
Four-boson critical-coupling conjecture on infinitely many bound states
arXiv@arxiv
Let $H$ be the Hamiltonian of $N=4$ particles in the setting of $(1.08;3)$ -- $(1.08;4)$ , with all pair potentials $v_{ik}\leq 0$ bounded and of finite range. Suppose … that the pair…
Conjectureopenefimov-effect few-body-quantum-systems spectral-theory
0

The Coxeter-diagram conjecture for H3H_{3}H3​ and H4H_{4}H4​ few-body systems