# Search results

## Page title matches

• #REDIRECT [[spherical harmonics]]
33 B (3 words) - 16:48, 4 September 2007
• *''See [[Spherical harmonics/Catalogs]] for a table of spherical harmonics through ℓ'' = 4. ...spherical symmetry, indeed, in the same kind of physical problems where spherical polar coordinates are preferred over other coordinate systems such as [[C
34 KB (5,282 words) - 19:21, 1 January 2011
• ==First few spherical harmonics==
3 KB (444 words) - 11:07, 9 September 2009
• 35 B (3 words) - 02:59, 26 October 2009
• ...basis functions that can be used to describe the boundary of objects with spherical topology.
150 B (22 words) - 18:28, 2 September 2008
• | title = An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them | url = http://www.archive.org/details/sphericalharmon00ferrrich
2 KB (249 words) - 14:50, 13 September 2009
• 12 B (1 word) - 01:10, 15 November 2007
• *[[Solid harmonics]] *[[Spherical polar coordinates]]
631 B (84 words) - 11:48, 31 January 2009

## Page text matches

• Here '''r''' has the spherical polar coordinates (''r'', &theta;, &phi;) and '''r'''' ...on]]. The expansion takes a simpler form when written in terms of [[solid harmonics]],
3 KB (409 words) - 05:52, 4 June 2009
• *''See [[Spherical harmonics/Catalogs]] for a table of spherical harmonics through ℓ'' = 4. ...spherical symmetry, indeed, in the same kind of physical problems where spherical polar coordinates are preferred over other coordinate systems such as [[C
34 KB (5,282 words) - 19:21, 1 January 2011
• | title = An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them | url = http://www.archive.org/details/sphericalharmon00ferrrich
2 KB (249 words) - 14:50, 13 September 2009
• ...orbital|atomic orbitals]] and in [[physics]] as [[multipoles]]. Irregular harmonics appear in the expansion of scalar fields in terms of multipoles. Both kinds of solid harmonics are simply related to [[spherical harmonics]] $\scriptstyle Y^m_\ell$ (normalized to unity),
16 KB (2,612 words) - 14:02, 9 February 2010
• ...tial]] in the space surrounding it&mdash;with the exception of a neutral, spherically symmetric, charge distribution, like a noble gas atom, which does not c ...iplied by angular functions depending on the [[spherical polar coordinates|spherical polar]] angles of '''R''' and also by coefficients with physical meaning
12 KB (1,953 words) - 09:38, 5 October 2009
• #REDIRECT [[spherical harmonics]]
33 B (3 words) - 16:48, 4 September 2007
• | title = An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them | url = http://www.archive.org/details/sphericalharmon00ferrrich
873 B (109 words) - 14:50, 13 September 2009
• where &theta; and &phi; are the [[spherical polar coordinates|spherical polar angles]] of '''r''' with respect to a coordinate system in the labo The [[Spherical_harmonics#Normalization|spherical harmonic]] in Racah normalization is defined by
56 KB (8,717 words) - 08:18, 1 November 2013
• ...tal. A list of Cartesian real spherical harmonics is given in this [[solid harmonics|article]]. ...nics. These functions are given in Cartesian form but, when expressed in [[spherical polar coordinates]], are functions of the colatitude angle &theta; and l
5 KB (822 words) - 22:36, 14 November 2007
• There are two kinds of GTOs in common use: Cartesian and spherical GTOs. They differ in their angular parts. ...the expressions between square brackets only depend on ''r'' and hence are spherical-symmetric. The angular parts of these functions are eigenfunctions of the
15 KB (2,490 words) - 17:23, 19 April 2009
• ...[[Spherical harmonics#Eigenfunctions of orbital angular momentum|spherical harmonic functions]]. Indeed, in terms of [[spherical polar coordinates]] the operator is,
16 KB (2,626 words) - 16:43, 16 January 2009
• ...an be shown that the angular parts of the solutions consist of [[spherical harmonic]] functions. The latter functions determine the shape of the AOs. ...asis functions. These functions depend on the [[spherical polar coordinate|spherical polar angles]] of the position vector that points from nucleus A to elec
14 KB (2,257 words) - 00:39, 15 November 2020
• These two operators indeed commute. (This is due to the spherical symmetry of ''H''.) The squared operator {{nowrap|''l''<sup> 2</sup>}} ha In [[Solid harmonics#Derivation, relation to spherical harmonics|this article]] (in which ''l''<sup> 2 </sup> is defined without Planck's
19 KB (2,981 words) - 15:51, 27 April 2010
• {{r|Spherical harmonics}} {{r|Solid harmonics}}
1 KB (154 words) - 12:04, 30 July 2008
• ...d. The angular parts of atomic orbitals are functions known as [[spherical harmonics]]. ...d hence they have the same appearance as these functions. (See [[spherical harmonics]] for a few graphical illustrations).
10 KB (1,514 words) - 00:38, 21 November 2009
• {{r|Solid harmonics}} {{r|Spherical harmonics}}
876 B (107 words) - 15:56, 11 January 2010
• {{r|Spherical harmonics}} {{r|Spherical polar coordinates}}
869 B (113 words) - 16:41, 11 January 2010
• {{r|Spherical harmonics}} {{r|Spherical wavelets}}
1 KB (216 words) - 10:25, 20 April 2010
• {{r|Spherical harmonics}} {{r|Spherical polar coordinates}}
965 B (124 words) - 22:23, 11 January 2010
• Auto-populated based on [[Special:WhatLinksHere/Spherical polar coordinates]]. Needs checking by a human. {{r|Solid harmonics}}
1,006 B (129 words) - 01:33, 12 January 2010

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