The quantum Coulomb three-body problem - Visualization of simulation results and numerical methods

Some years ago it was established that the muon catalyzed fusion phenomenon could be used for the production of energy. This fact has been causing a rebirth of interest in the universal methods of solving the quantum Coulomb three-body problem. The adiabatic hyperspherical (AHS) approach considered in this joint project has definite advantages in comparison with other methods. The case study proposed focuses on the study of the structure and behavior of the wave function of bound states of a quantum three-body system as well as of the basis functions of the AHS approach. Adapted scientific visualization tools such as surface rendering, volume ray tracing and texturing will be used. Visualization allows to discover interesting features in the behavior of the basis functions and to analyze the convergence of the AHS-expansion for the wave functions