178 citations · 981 across the 75 of their papers we have counts for
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math-ph2006★ 3 cited
Relaxation of Solitons in Nonlinear Schrodinger Equations with Potential
Zhou Gang, I. M. Sigal
In this paper we study dynamics of solitons in the generalized nonlinear Schrödinger equation (NLS) with an external potential in all dimensions except for 2. For a certain class o…
math-ph2006
On Soliton Dynamics in Nonlinear Schrodinger Equations
Zhou Gang, I. M. Sigal
In this paper we announce the result of asymptotic dynamics of solitons of nonlinear Schrodinger equations with external potentials. To each local minima of the potential there is…
math-ph2006★ 38 cited
Theory of Non-Equilibrium Sationary States as a Theory of Resonances
M. Merkli, M. Mueck, I. M. Sigal
We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields). We show that…