Titlebook: Recent Progress in Few-Body Physics; Proceedings of the 2 N. A. Orr,M. Ploszajczak,J. Carbonell Conference proceedings 2020 Springer Nature

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Discrete Scaling and Scattering Properties from Atom-Dimer Collisioncies is communicated. The discrete scaling can be identified by the energy dependence of an atom-molecule elastic cross-section, when colliding a heavy atom with mass . into a weakly-bound heavy-light (.) dimer. In the extreme mass-imbalanced system it was verified that the .-wave elastic cross sect

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Energy Levels of Excitons in Square Quantum Wellsnt widths is performed. The modeling is based on an accurate finite-difference solution of the time-independent three-dimensional Schrödinger equation. A dependence of energy levels on a quantum well width as a parameter is studied. The calculated exciton states are classified according to their qua

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QED in the Clothed-Particle RepresentationD). An analytical expression for the QED Hamiltonian in the clothed-particle representation (CPR) has been derived. Its distinctive feature is the appearance of a new family of the Hermitian and energy independent interaction operators built up in the .-order for the clothed electrons and positrons

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Low-Dimensional Few-Body Processes in Confined Geometry of Atomic and Hybrid Atom-Ion Trapsased on the split-operator method in 2D discrete-variable representation (DVR) suggested by V. Melezhik for integration of the few-dimensional time-dependent Schrödinger equation. We give a brief review of the application to resonant ultracold atomic processes and discuss our latest results on hybri

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Mesoscopic Bose-Einstein Condensate in Anharmonic Trap: Concept of Transition Exponenthaviour of specific heat capacity near the transition temperature in mesoscopic region. We calculate the transition exponent to define the quasi phase transition for different anharmonicity. Comparison with pure harmonic trap is also addressed.

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Fragmentation Dynamics of Atomic and Molecular Clustersding environment may give rise to specific energy relaxation mechanisms. For atomic dimers, we found that the low electron mobility along the dimer results in an asymmetry in the charge repartition among the two ionic fragments. Specific relaxation process such as radiative charge transfer has also

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