Fetching the paper…
Reading the bibliography…
We investigate the dynamics of a boson gas with three-body interactions in dimensions $d=1,2$.
K. Hepp, The classical limit for quantum mechanical correlation functions
1974
Earlier work this paper cites.
H. Spohn, Kinetic Equations from Hamiltonian Dynamics
1980
Earlier work this paper cites.
L. Erdös, H.-T. Yau, Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
2001
Earlier work this paper cites.
E.H. Lieb, R. Seiringer, J. Yngvason, A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
2001
Earlier work this paper cites.
E.H. Lieb, R. Seiringer, Proof of Bose-Einstein condensation for dilute trapped gases
2002
Earlier work this paper cites.
T. Cazenave, Semilinear Schrödinger equations
2003
Earlier work this paper cites.
R. Adami, C. Bardos, G. Golse, A. Teta, Towards a rigorous derivation of the cubic nonlinear Schrödinger equation in dimension one
2004
Earlier work this paper cites.
M. Aizenman, E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
2004
Cited alongside, same era.
E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason, The mathematics of the Bose gas and its condensation
2005
Cited alongside, same era.
A. Elgart, L. Erdös, B. Schlein, H.-T. Yau, Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons
2006
Cited alongside, same era.
R. Adami, G. Golse, A. Teta, Rigorous derivation of the cubic NLS in dimension one
2007
Cited alongside, same era.
L. Erdös, B. Schlein, H.-T. Yau, Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
2007
Cited alongside, same era.
S. Klainerman, M. Machedon, On the uniqueness of solutions to the Gross-Pitaevskii hierarchy
2008
Closest in time.
B. Schlein, Derivation of Effective Evolution Equations from Microscopic Quantum Dynamics
2008
Closest in time.
Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential
2009
Closest in time.
J. Fröhlich, A. Knowles, S. Schwarz On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction
2009
Closest in time.
I. Rodnianski, B. Schlein, Quantum fluctuations and rate of convergence towards mean field dynamics
2009
Closest in time.
T. Chen, N. Pavlović, On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
2010
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
J. Fröhlich, S. Graffi, S. Schwarz, Mean-field- and classical limit of many-body Schrödinger dynamics for bosons
2007
Cited alongside, same era.
J. Fröhlich, A. Knowles, A. Pizzo, Atomism and quantization
2007
Cited alongside, same era.
L. Erdös, B. Schlein, H.-T. Yau, Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate
Cited in the paper.
Cited in the paper.
Cited in the paper.
Closest in time.