Hyperspherical Harmonics

1991 ◽  
pp. 284-359
Author(s):  
Arnold F. Nikiforov ◽  
Vasilii B. Uvarov ◽  
Sergei K. Suslov
Keyword(s):  
Hyperspherical Harmonics

Some properties of Wigner coefficients and hyperspherical harmonics

1956 ◽  
Vol 52 (3) ◽  
pp. 424-430 ◽  
Author(s):  
A. P. Stone
Keyword(s):  
Angular Momentum ◽  
Euclidean Space ◽  
Rotation Group ◽  
Dimensional Euclidean Space ◽  
Hyperspherical Harmonics ◽  
Shift Operators ◽  
Analytical Relations

ABSTRACTGeneral shift operators for angular momentum are obtained and applied to find closed expressions for some Wigner coefficients occurring in a transformation between two equivalent representations of the four-dimensional rotation group. The transformation gives rise to analytical relations between hyperspherical harmonics in a four-dimensional Euclidean space.

Hypertriton and hyperspherical harmonics

1985 ◽  
Vol 31 (6) ◽  
pp. 2303-2306 ◽  
Author(s):  
R. B. Clare ◽  
J. S. Levinger
Keyword(s):  
Hyperspherical Harmonics

Comparison of different ways of expanding the wave function in hyperspherical harmonics for the solution of the Schr�dinger equations

1983 ◽  
Vol 26 (5) ◽  
pp. 465-467
Author(s):  
S. S. Yarovoi ◽  
S. V. Petrov ◽  
A. N. Dvoryankin ◽  
A. V. Abramenkov
Keyword(s):  
Wave Function ◽  
Hyperspherical Harmonics

The basis of three-particle hyperspherical harmonics in 'democratic' variables

1986 ◽  
Vol 19 (9) ◽  
pp. 1589-1596 ◽  
Author(s):  
M I Mukhtarova ◽  
V D Efros
Keyword(s):  
Hyperspherical Harmonics

scholarly journals Hyperspherical harmonics with arbitrary arguments

2009 ◽  
Vol 50 (1) ◽  
pp. 013526 ◽  
Author(s):  
A. V. Meremianin
Keyword(s):  
Hyperspherical Harmonics
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