Three‐body plane wave at zero angular momentum and some addition theorems

A quantum three‐body system with zero angular momentum is considered. The plane wave F related to this problem is studied. It is proved to be a function of two variables that have a meaning of the eikonals on the internal space. A number of explicit formulas for F and its asymptotics are derived. Ne...

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Veröffentlicht in:	Journal of mathematical physics 1991-01, Vol.32 (1), p.50-56
Hauptverfasser:	Kvitsinsky, A. A., Merkuriev, S. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and quantum physics: mechanics and fields Exact sciences and technology Physics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A quantum three‐body system with zero angular momentum is considered. The plane wave F related to this problem is studied. It is proved to be a function of two variables that have a meaning of the eikonals on the internal space. A number of explicit formulas for F and its asymptotics are derived. New addition theorems for the scalar hyperspherical harmonics as well as for some special functions are obtained.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.529092