We have analytically explored the phenomenon of quantum scattering for unfixed quantum scatterers. We have considered short ranged (Fermi-Huang $\delta_p^3$ [1]) interaction between the incident `particle' and the scatterer with no interactions among the scatterers, and the scatterers 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. 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. Our predictions can be tested within the present day experimental setups.We have analytically explored the phenomenon of quantum scattering for unfixed quantum scatterers. We have considered short ranged (Fermi-Huang $\delta_p^3$ [1]) interaction between the incident `particle' and the scatterer with no interactions among the scatterers, and the scatterers 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. 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. Our predictions can be tested within the present day experimental setups.

Jun 9, 20160 citations

Quantum-Mechanical Scattering

Jens Boos

Springer thesesJan 1, 20210 citations

Quantum Mechanics Studies of the Phenomena of Light Scattering

Xiaoli Zhao

The phenomena of light scattering and several basic types of light scattering are briefly introduced and summarized in this article.In the quantum mechanics point of view,the light scattering was looked on as the interaction between photons and material atoms(scattering of photons and material atoms or collision),and their images was also given.Then all kinds of scattering,such as: Compton scattering,Rayleigh scattering and Raman scattering were discussed and analysed,and the relevant formulas were given.A lot of knowledge about the basic theory of light scattering and structure of atoms or molecules are obtained.The phenomena of light scattering and several basic types of light scattering are briefly introduced and summarized in this article.In the quantum mechanics point of view,the light scattering was looked on as the interaction between photons and material atoms(scattering of photons and material atoms or collision),and their images was also given.Then all kinds of scattering,such as: Compton scattering,Rayleigh scattering and Raman scattering were discussed and analysed,and the relevant formulas were given.A lot of knowledge about the basic theory of light scattering and structure of atoms or molecules are obtained.

Journal of Xinxiang UniversityJan 1, 20110 citations

Quantum Scattering Theory

Jesús Pérez‐Ríos

Springer eBooksJan 1, 20207 citations

Nonlinear Scattering Matrix in Quantum Optics

Dmitry N. Makarov, Eugeny S Gusarevich, Ksenia Makarova

It is well known that the scattering matrix plays an important role in quantum optics. This matrix converts the incoming characteristics of scattered radiation into output characteristics. Currently, only special cases of such a scattering matrix are known, which are determined by a specific problem. In this work, a general form of the scattering matrix is obtained, which can be applied to a wide range of problems. It is shown that previously well-known and widely used scattering matrices can be obtained from the resulting scattering matrix. The results obtained can be used to describe new quantum states, the scattering matrices of which have not yet been studied.It is well known that the scattering matrix plays an important role in quantum optics. This matrix converts the incoming characteristics of scattered radiation into output characteristics. Currently, only special cases of such a scattering matrix are known, which are determined by a specific problem. In this work, a general form of the scattering matrix is obtained, which can be applied to a wide range of problems. It is shown that previously well-known and widely used scattering matrices can be obtained from the resulting scattering matrix. The results obtained can be used to describe new quantum states, the scattering matrices of which have not yet been studied.

MathematicsNov 15, 20232 citations

We have analytically explored the phenomenon of quantum scattering for unfixed quantum scatterers. We have considered short ranged (Fermi-Huang

\delta_p^3

[1]) interaction between the incident `particle' and the scatterer with no interactions among the scatterers, and the scatterers 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. 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. Our predictions can be tested within the present day experimental setups.