# Arrangement and chemical complexity in an $N$-body quantum system

@inproceedings{Gao2022ArrangementAC, title={Arrangement and chemical complexity in an \$N\$-body quantum system}, author={Bo Gao}, year={2022} }

We introduce and discuss the concept of arrangement , traditionally found in the context of chemical reactions and few-body rearrangement collisions, in the general context of an N -body quantum system. We show that the ability for particles to attract and bind is a key source of complexity of an N -body quantum system, and arrangement is an emergent concept necessitated by the description of this complexity. For an N -body system made of particles of which some or all can attract and bind, the…

## 2 Citations

### Multichannel quantum-defect theory for anisotropic interactions

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- 2020

We present a general formulation of multichannel quantum-defect theory (MQDT) for anisotropic long-range potentials. The theory unifies the treatment of atomic and molecular interactions of all…

### Multichannel quantum-defect theory for anisotropic interactions

- Physics
- 2020

We present a general formulation of multichannel quantum-defect theory (MQDT) for anisotropic long-range potentials. The theory unifies the treatment of atomic and molecular interactions of all…

## References

SHOWING 1-10 OF 22 REFERENCES

### Rigidity, separability, and cusp conditions of a wave function

- Physics
- 2022

We introduce in quantum mechanics a concept of rigidity and a concept of a pinned point of a wave function. The concept of a pinned point is a generalization of a familiar concept in the description…

### Multichannel quantum-defect theory for anisotropic interactions

- Physics
- 2020

We present a general formulation of multichannel quantum-defect theory (MQDT) for anisotropic long-range potentials. The theory unifies the treatment of atomic and molecular interactions of all…

### Breakdown of Bohr ’ s Correspondence Principle

- Physics
- 1999

s nly e 2], It ) in From the early days of quantum mechanics, it h long been expected that the greater the quantum num for a certain degree of freedom (corresponding to greater number of nodes in the…

### Ultracold quantum dynamics: Spin-polarized K+ K 2 collisions with three identical bosons or fermions

- Physics
- 2005

We have developed a new potential energy surface for spin-polarized K($^2$S) + K$_{2}(^3\Sigma^+_u)$ collisions and carried out quantum dynamical calculations of vibrational quenching at low and…

### Scattering of ultracold molecules in the highly resonant regime

- Physics, Chemistry
- 2013

Compared to purely atomic collisions, ultracold molecular collisions potentially support a much larger number of Fano-Feshbach resonances due to the enormous number of rovibrational states available.…

### Relation between the change of density of states and the shape of the potential in two-body interactions

- Physics
- 2017

We derive a general relation in two-body scattering theory that more directly relates the change of density of states (DDOS) due to interaction to the shape of the potential. The relation allows us…

### Sticky collisions of ultracold RbCs molecules

- PhysicsNature Communications
- 2019

It is demonstrated that loss of molecules occupying their rotational and hyperfine ground state is best described by second-order rate equations, consistent with the expectation for complex-mediated collisions, but that the rate is lower than the limit of universal loss.

### Universal few-body physics and cluster formation

- Physics
- 2017

A comprehensive account of the theoretical analyses of the Efimov effect and the universal properties of three-body bound states is provided. Recent experimental studies are reviewed and shown how…

### Decoherence, the measurement problem, and interpretations of quantum mechanics

- Physics
- 2005

Environment-induced decoherence and superselection have been a subject of intensive research over the past two decades, yet their implications for the foundational problems of quantum mechanics, most…

### Statistical Aspects of Ultracold Resonant Scattering

- Physics
- 2012

Resonances have always played a key role in scattering experiments across many areas of physics, serving to nail down our understanding of the interaction between the collision partners. They play an…