Alexei M Frolov 2006 J. Phys. A: Math. Gen. 39 15421 doi:10.1088/0305-4470/39/50/009
Alexei M Frolov
Show affiliationsThe new approach to the analysis of four-body systems and computation of various four-body integrals is proposed. The approach is based on the use of six perimetric coordinates which can be introduced for an arbitrary four-body system. The proper (i.e. non-conflicting) definition of the four-body perimetric coordinates is given for an arbitrary four-body system. It is shown that these six internal perimetric coordinates describe all possible configurations in an arbitrary four-body system and can be used to simplify computations of many four-body integrals written in the relative coordinates r12, r13, r23, r14, r24 and r34. In addition to this, a number of new, very effective procedures for variational computation of different four-body systems can now be developed.
81V55 Molecular physics (See also 92E10)
Issue 50 (15 December 2006)
Received 21 September 2006, in final form 7 November 2006
Published 30 November 2006
Alexei M Frolov 2006 J. Phys. A: Math. Gen. 39 15421
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