Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 28: Posters - Dynamics of Many-Body Systems
DY 28.3: Poster
Tuesday, March 21, 2017, 18:15–21:00, P3
Theory of quantum scattering for quantum scatterers — •Ankita Bhattacharya1,2 and Shyamal Biswas2 — 1Institute of Theoretical Physics, TU Dresden, Germany — 2School of Physics, University of Hyderabad, India
We have analytically explored the phenomenon of quantum scattering for unfixed quantum scatterer(s) in quantized bound states in different types of box geometry and potential-trapped geometry. We have considered short ranged (Fermi-Huang δp3) interaction between the incident particle and the scatterer(s) with no interactions among the scatterers, and the scatterer(s) as (i) particle(s) in a 1-D box, (ii) particle(s) in a 1-D double box, (iii) particle(s) in a 1-D grating, (iv) particle(s) in a 2-D rectangular box, (v) particle(s) in a 3-D harmonic trap, (vi) Bose-Einstein condensates in a double well, (vii) Bose-Einstein condensates in an optical lattice, etc. Coherent scattering from all possible positions of the quantum scatterers in the finite geometry gives rise to rich physics specially for the interference between the scattering due to the aperture and that due to the scatterer(s) in the aperture. We have predicted differential scattering cross-section for particle scattering, not only for the above cases, but also for 3-D harmonically trapped Bose and Fermi gases in thermodynamic equilibrium. We also have explored temperature dependence of the quantum scattering even for 3-D ideal quantum gases in the restricted geometries. Our predictions can be tested within the present day experimental setups.