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BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
Bound State Solutions of the Schrödinger Equation for Generalized Morse Potential With Position Dependent Mass
Position dependent mass Schr¨odinger Equation Generalized Morse potential
2011/1/19
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions
are comput...
Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation
Analysis of PDEs (math.AP) Mathematical Physics (math-ph) Optimization and Control (math.OC) Pattern Formation and Solitons (nlin.PS)
2010/11/11
Consider a system governed by the time-dependent Schr\"odinger equation in its ground state. When subjected to weak (size $\epsilon$) parametric forcing by an "ionizing field" (time-varying), the stat...