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We present a method for solving trapped few-body problems and apply it to three equal-mass particles in a one-dimensional harmonic trap, interacting via a contact potential.
Relationship between systems of impenetrable bosons and fermions in one dimension
M. Girardeau · 1960
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Exact analysis of an interacting bose gas. I. the general solution and the ground state
Elliott H. Lieb and Werner Liniger · 1963
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Exact analysis of an interacting bose gas. II. the excitation spectrum
Elliott H. Lieb · 1963
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A set of hyperspherical harmonics especially suited for three-body collisions in a plane
J. E. Kilpatrick and S. Y. Larsen · 1987
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Efimov effect in coordinate space Faddeev equations
D. V. Fedorov and A. S. Jensen · 1993
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Two cold atoms in a harmonic trap
Thomas Busch, Berthold-Georg Englert, Kazimierz Rza̧żewski, and Martin Wilkens · 1998
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Few-nucleon systems in a translationally invariant harmonic oscillator basis
P. Navrátil, G. P. Kamuntavic̆ius, and B. R. Barrett · 2000
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Interaction energy of two trapped bosons with long scattering length
S. Jonsell · 2002
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Three particles in an external trap: Nature of the complete j=0 spectrum
D. Blume and Chris H. Greene · 2002
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Universal behavior of the energy of trapped few-boson systems with large scattering length
S. Jonsell, H. Heiselberg, and C. J. Pethick · 2002
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One-dimensional bosons in three-dimensional traps
Elliott H. Lieb, Robert Seiringer, and Jakob Yngvason · 2003
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Short range scaling laws of quantum gases with contact interactions
Shina Tan · 2004
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Universal correlations of trapped one-dimensional impenetrable bosons
D. M. Gangardt · 2004
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Production of three-body efimov molecules in an optical lattice
Martin Stoll and Thorsten Köhler · 2005
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s-wave quantum entanglement in a harmonic trap
Jia Wang, C. K. Law, and M.-C. Chu · 2005
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Unitary quantum three-body problem in a harmonic trap
Félix Werner and Yvan Castin · 2006
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Unitary gas in an isotropic harmonic trap: Symmetry properties and applications
Félix Werner and Yvan Castin · 2006
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Universality in few-body systems with large scattering length
Eric Braaten and H.-W. Hammer · 2006
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The spectrum of particles with short-ranged interactions in a harmonic trap
S. Tölle, H.-W. Hammer, and B. Ch. Metsch · 2010
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Energy spectrum of harmonically trapped two-component fermi gases: Three- and four-particle problem
K. M. Daily and D. Blume · 2010
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Three and four harmonically trapped particles in an effective-field-theory framework
J. Rotureau, I. Stetcu, B. R. Barrett, M. C. Birse, and U. van Kolck · 2010
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Universal insights from few-body land
Chris H. Greene · 2010
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Universal few-body physics in a harmonic trap
Simon Tölle, Hans-Werner Hammer, and Bernard Ch. Metsch · 2011
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Analytic harmonic approach to the n-body problem
J. R. Armstrong, N. T. Zinner, D. V. Fedorov, and A. S. Jensen · 2011
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Three-fermion problems in optical lattices
T. Luu and A. Schwenk · 2007
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Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
J. P. Kestner and L.-M. Duan · 2007
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Effective theory for trapped few-fermion systems
I. Stetcu, B. R. Barrett, U. van Kolck, and J. P. Vary · 2007
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No-core shell model in an effective-field-theory framework
I. Stetcu, B. R. Barrett, and U. van Kolck · 2007
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Analytical solution of the bosonic three-body problem
Alexander O. Gogolin, Christophe Mora, and Reinhold Egger · 2008
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An effective field theory approach to two trapped particles
I. Stetcu, J. Rotureau, B.R. Barrett, and U. van Kolck · 2010
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Efimov trimers in a harmonic potential
Jacobus Portegies and Servaas Kokkelmans · 2011
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Theoretical description of two ultracold atoms in finite three-dimensional optical lattices using realistic interatomic interaction potentials
Sergey Grishkevich, Simon Sala, and Alejandro Saenz · 2011
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One dimensional bosons: From condensed matter systems to ultracold gases
M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol · 2011
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Universal two-body spectra of ultracold harmonically trapped atoms in two and three dimensions
N. T. Zinner · 2012
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Effective renormalized multi-body interactions of harmonically confined ultracold neutral bosons
P. R. Johnson, D. Blume, X. Y Yin, W. F Flynn, and E. Tiesinga · 2012
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Few-body physics with ultracold atomic and molecular systems in traps
D. Blume · 2012
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