Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
Top Cited Papers
- 20 December 2006
- journal article
- research article
- Published by Springer Nature in Inventiones Mathematicae
- Vol. 167 (3) , 515-614
- https://doi.org/10.1007/s00222-006-0022-1
Abstract
No abstract availableKeywords
All Related Versions
This publication has 13 references indexed in Scilit:
- Proof of Bose-Einstein Condensation for Dilute Trapped GasesPhysical Review Letters, 2002
- Derivation of the nonlinear Schrödinger equation from a many-body Coulomb systemAdvances in Theoretical and Mathematical Physics, 2001
- Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equationCommunications on Pure and Applied Mathematics, 2000
- Weak coupling limit of the $N$-particle Schrödinger equationMethods and Applications of Analysis, 2000
- Global Solutions of Nonlinear Schrödinger EquationsPublished by American Mathematical Society (AMS) ,1999
- The Functional CalculusJournal of the London Mathematical Society, 1995
- Kinetic equations from Hamiltonian dynamics: Markovian limitsReviews of Modern Physics, 1980
- Elliptic Partial Differential Equations of Second OrderPublished by Springer Nature ,1977
- The classical limit for quantum mechanical correlation functionsCommunications in Mathematical Physics, 1974
- Upper Bounds on Scattering Lengths for Static PotentialsPhysical Review B, 1959