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词条 Spin spherical harmonics
释义

  1. Notes

  2. References

{{Distinguish|Spin-weighted spherical harmonics}}

In quantum mechanics, spin spherical harmonics {{math|Yl, s, j, m}} are spinors eigenstates of the total angular momentum operator squared:

where {{math|j {{=}} l + s}}. They are the natural spinorial analog of vector spherical harmonics.

For spin-1/2 systems, they are given in matrix form by[1]

Notes

1. ^{{Citation | last1=Biedenharn | first1=L. C. | authorlink=Lawrence Biedenharn | last2=Louck | first2=J. D. | title=Angular momentum in Quantum Physics: Theory and Application | publisher=Addison-Wesley | place=Reading | volume=8 | series=Encyclopedia of Mathematics | isbn=0-201-13507-8 | year=1981 | page=283}}

References

  • {{Citation | last1=Edmonds | first1=A. R. | title=Angular Momentum in Quantum Mechanics | publisher=Princeton University Press | isbn=978-0-691-07912-7 | year=1957}}
{{Physics-stub}}

3 : Spinors|Rotational symmetry|Special functions

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