On certain spaces of harmonic polynomials

1992 ◽  
pp. 51-86 ◽  
Author(s):  
N. Bergeron ◽  
A. M. Garsia
Keyword(s):  
Harmonic Polynomials

HYPER-SPHERICAL HARMONICS AND ANHARMONICS IN m-DIMENSIONAL SPACE

2008 ◽  
Vol 17 (06) ◽  
pp. 1125-1130
Author(s):  
M. R. SHOJAEI ◽  
A. A. RAJABI ◽  
H. HASANABADI
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Spherical Harmonics ◽  
Interaction Potential ◽  
Dimensional Space ◽  
Harmonic Polynomials ◽  
Central Importance ◽  
Computational Tools ◽  
Relative Coordinate

In quantum mechanics the hyper-spherical method is one of the most well-established and successful computational tools. The general theory of harmonic polynomials and hyper-spherical harmonics is of central importance in this paper. The interaction potential V is assumed to depend on the hyper-radius ρ only where ρ is the function of the Jacobi relative coordinate x1, x2,…, xn which are functions of the particles' relative positions.

Regular solids and harmonic polynomials

1945 ◽  
Vol 12 (4) ◽  
pp. 629-644 ◽  
Author(s):  
E. F. Beckenbach ◽  
Maxwell Reade
Keyword(s):  
Harmonic Polynomials
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