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:''"Spherical tensor" redirects to here. For the concept related to operators see tensor operator.''In pure and applied mathematics, particularly quantum mechanics and computer graphics and their applications, a spherical basis is the basis used to express spherical tensors. The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions.While spherical polar coordinates are one orthogonal coordinate system for expressing vectors and tensors using polar and azimuthal angles and radial distance, the spherical basis are constructed from the standard basis and use complex numbers.==Spherical basis in three dimensions==A vector A in 3D Euclidean space can be expressed in the familiar Cartesian coordinate system in the standard basis e''x'', e''y'', e''z'', and coordinates ''Ax'', ''Ay'', ''Az'':or any other coordinate system with associated basis set of vectors.
:''"Spherical tensor" redirects to here. For the concept related to operators see tensor operator.''
In pure and applied mathematics, particularly quantum mechanics and computer graphics and their applications, a spherical basis is the basis used to express spherical tensors. The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions.
While spherical polar coordinates are one orthogonal coordinate system for expressing vectors and tensors using polar and azimuthal angles and radial distance, the spherical basis are constructed from the standard basis and use complex numbers.
==Spherical basis in three dimensions==
A vector A in 3D Euclidean space can be expressed in the familiar Cartesian coordinate system in the standard basis e''x'', e''y'', e''z'', and coordinates ''Ax'', ''Ay'', ''Az'':
or any other coordinate system with associated basis set of vectors.
抄文引用元・出典: フリー百科事典『 spherical basis is the basis used to express spherical tensors. The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions.While spherical polar coordinates are one orthogonal coordinate system for expressing vectors and tensors using polar and azimuthal angles and radial distance, the spherical basis are constructed from the standard basis and use complex numbers.==Spherical basis in three dimensions==A vector A in 3D Euclidean space can be expressed in the familiar Cartesian coordinate system in the standard basis e''x'', e''y'', e''z'', and coordinates ''Ax'', ''Ay'', ''Az'':or any other coordinate system with associated basis set of vectors.">ウィキペディア（Wikipedia）』
■spherical basis is the basis used to express spherical tensors. The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions.While spherical polar coordinates are one orthogonal coordinate system for expressing vectors and tensors using polar and azimuthal angles and radial distance, the spherical basis are constructed from the standard basis and use complex numbers.==Spherical basis in three dimensions==A vector A in 3D Euclidean space can be expressed in the familiar Cartesian coordinate system in the standard basis e''x'', e''y'', e''z'', and coordinates ''Ax'', ''Ay'', ''Az'':or any other coordinate system with associated basis set of vectors.">ウィキペディアで「:''"Spherical tensor" redirects to here. For the concept related to operators see tensor operator.''In pure and applied mathematics, particularly quantum mechanics and computer graphics and their applications, a spherical basis is the basis used to express spherical tensors. The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions.While spherical polar coordinates are one orthogonal coordinate system for expressing vectors and tensors using polar and azimuthal angles and radial distance, the spherical basis are constructed from the standard basis and use complex numbers.==Spherical basis in three dimensions==A vector A in 3D Euclidean space can be expressed in the familiar Cartesian coordinate system in the standard basis e''x'', e''y'', e''z'', and coordinates ''Ax'', ''Ay'', ''Az'':or any other coordinate system with associated basis set of vectors.」の詳細全文を読む
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