The quintic NLS as the mean field limit of a boson gas with three-body interactions
- Thomas Chen, Natavsa Pavlovi'c
- Mathematics
- 15 December 2008
Unconditional Uniqueness for the Cubic Gross‐Pitaevskii Hierarchy via Quantum de Finetti
- Thomas Chen, C. Hainzl, N. Pavlović, R. Seiringer
- Mathematics
- 11 July 2013
We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross‐Pitaevskii hierarchy in ℝ3 . One of the main tools in our analysis is the quantum de Finetti theorem.…
Smooth Feshbach map and operator-theoretic renormalization group methods
- V. Bach, Thomas Chen, J. Fröhlich, I. Sigal
- Physics
- 10 September 2003
On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
- Thomas Chen, N. Pavlović
- Mathematics
- 18 December 2008
We consider the dynamical Gross-Pitaevskii (GP) hierarchy on $\R^d$, $d\geq1$, for cubic, quintic, focusing and defocusing interactions. For both the focusing and defocusing case, and any $d\geq1$,…
Localization Lengths and Boltzmann Limit for the Anderson Model at Small Disorders in Dimension 3
- Thomas Chen
- Mathematics
- 26 May 2003
AbstractWe prove lower bounds on the localization length of eigenfunctions in the three-dimensional Anderson model at weak disorders. Our results are similar to those obtained by Schlag, Shubin and…
Infrared renormalization in non-relativistic QED and scaling criticality
- Thomas Chen
- Physics
- 6 January 2006
Operator-theoretic infrared renormalization and construction of dressed 1-particle states
- Thomas Chen
- Physics
- 24 August 2001
We consider the infrared problem in a model of a freely propagating, nonrelativistic charged particle of mass 1 in interaction with the quantized electromagnetic field. The hamiltonian of the system…
Derivation of the Cubic NLS and Gross–Pitaevskii Hierarchy from Manybody Dynamics in d = 3 Based on Spacetime Norms
- Thomas Chen, N. Pavlović
- Mathematics
- 27 November 2011
We derive the defocusing cubic Gross–Pitaevskii (GP) hierarchy in dimension d = 3, from an N-body Schrödinger equation describing a gas of interacting bosons in the GP scaling, in the limit N → ∞.…
A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies
- Thomas Chen, Natavsa Pavlovi'c
- MathematicsProceedings of the American Mathematical Society
- 17 June 2009
We consider the cubic and quintic Gross-Pitaevskii (GP) hierarchies in d ≥ 1 dimensions, for focusing and defocusing interactions. We present a new proof of existence of solutions that does not…
The Decay of Unstable Noncommutative Solitons
- Thomas Chen, J. Froehlich, J. Walcher
- Physics
- 17 January 2003
Abstract: We study the classical decay of unstable scalar solitons in noncommutative field theory in 2+1 dimensions. This can, but does not have to, be viewed as a toy model for the decay of D-branes…
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