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Projects / Programmes source: ARIS

Precise calculations of few-body systems in atomic, nuclear and solid state physics

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Research activity

Code Science Field Subfield
1.02.01  Natural sciences and mathematics  Physics  Physics of condesed matter 

Code Science Field
P190  Natural sciences and mathematics  Mathematical and general theoretical physics, classical mechanics, quantum mechanics, relativity, gravitation, statistical physics, thermodynamics 
P230  Natural sciences and mathematics  Atomic and molecular physics 
Keywords
three body problem, few body problem, atomic physics, CFHHM, hyperspherical methods, correlation function
Evaluation (rules)
source: COBISS
Evaluation of bibliographic research performance indicators according to ARIS methodology
Citations Citations for bibliographic records in COBIB.SI that are linked to records in citation databases
source: WoS source: Scopus source: COBISS
Researchers (3)
no. Code Name and surname Research area Role Period No. of publications
1.  10561  PhD Borut Bajc  Physics  Researcher  1999 - 2001  264 
2.  09087  PhD Rajmund Krivec  Physics  Head  1998 - 2001  106 
3.  12751  Matej Orešič  Physics  Researcher  1999 - 2001  10 
Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0106  Jožef Stefan Institute  Ljubljana  5051606000  90,753 
Abstract
The main goal of the project is the development of the Correlation Function Hyperspherical Harmonic Method (CFHHM) and its application to few-body problems, especially in atomic physics. In contrast to other methods, especially the variational method, CFHHM actually solves the Schroedinger equation, which enables it to give a locally precise wave function in the whole space. The precision may reach 8 decimal places. This makes it possible to apply CFHHM to some observables in the atomic physics systems which depend on the structure of the wave function in the parts of space where two particles are close together and the other particles are at a distance. A part of the project consists of optimization of the correlation function, which serves as a mathematical device for convergence acceleration, such that a not too large number of coupled differential equations is required, i.e., below 600. Typical applications so far were to various level splittings and relativistic corrections to observables in the Helium atom, muonic Helium, and muonic molecules relevant in muonic catalyzed fusion.
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