Three-body Problem in Quantum Mechanics

2005 ◽  
Vol 73 (1) ◽  
pp. 177-186 ◽  
Author(s):  
Wu-Yi Hsiang
Keyword(s):  
Quantum Mechanics ◽  
Body Problem ◽  
Three Body Problem ◽  
Three Body

scholarly journals Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms

Atoms ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 19 ◽  
Author(s):  
Victor Colussi
Keyword(s):  
Quantum Mechanics ◽  
Body Problem ◽  
Bose Gas ◽  
Particle Systems ◽  
Three Body Problem ◽  
Thermodynamical Properties ◽  
Numerical Studies ◽  
Analytic Expressions ◽  
The Subject ◽  
Three Body

The two- and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which is the subject of this work. In this work, we focus on the unitary three-body problem in a trap, where interactions are as strong as allowed by quantum mechanics. We derive analytic results for the two- and three-body contacts in this regime and compare them with existing limiting expressions and previous numerical studies.

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