angular momenta

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6 matching pages

1: 34.10 Zeros

… ►In a

\mathit{3j}

symbol, if the three angular momenta

j_{1},j_{2},j_{3}

do not satisfy the triangle conditions (34.2.1), or if the projective quantum numbers do not satisfy (34.2.3), then the

\mathit{3j}

symbol is zero. …However, the

\mathit{3j}

and

\mathit{6j}

symbols may vanish for certain combinations of the angular momenta and projective quantum numbers even when the triangle conditions are fulfilled. …

2: 34.2 Definition: $\mathit{3j}$ Symbol

… ►The quantities

j_{1},j_{2},j_{3}

in the

\mathit{3j}

symbol are called angular momenta. Either all of them are nonnegative integers, or one is a nonnegative integer and the other two are half-odd positive integers. … ►

See accompanying text — Figure 34.2.1: Angular momenta $j_{r}$ and projective quantum numbers $m_{r}$ , $r=1,2,3$ . Magnify

…

3: 16.24 Physical Applications

… ►The coefficients of transformations between different coupling schemes of three angular momenta are related to the Wigner

\mathit{6j}

symbols. …

4: Bibliography T

… ►

T. Takemasa, T. Tamura, and H. H. Wolter (1979) Coulomb functions with complex angular momenta. Comput. Phys. Comm. 17 (4), pp. 351–355.

ⓘ

Notes:: Single-precision Fortran code.
External Links:: ISSN 0010-4655, Document, Code
Referenced by:: 3rd item, 2nd item.
Encodings:: BibTeX

…

5: Bibliography S

… ►

K. Schulten and R. G. Gordon (1975a) Exact recursive evaluation of

3j

- and

6j

-coefficients for quantum-mechanical coupling of angular momenta. J. Mathematical Phys. 16 (10), pp. 1961–1970.

ⓘ

External Links:: Document, MathReview (J.-L. Calais)
Referenced by:: §34.13, §34.3(iii).
Encodings:: BibTeX

►

K. Schulten and R. G. Gordon (1975b) Semiclassical approximations to

3j

- and

6j

-coefficients for quantum-mechanical coupling of angular momenta. J. Mathematical Phys. 16 (10), pp. 1971–1988.

ⓘ

External Links:: Document, MathReview (J.-L. Calais)
Referenced by:: §34.8.
Encodings:: BibTeX

…

6: Bibliography L

… ►

D. R. Lehman and J. S. O’Connell (1973) Graphical Recoupling of Angular Momenta. Technical report U.S. Government Printing Office, National Bureau of Standards, Washington, D.C..

ⓘ

Notes:: Monograph 136
Referenced by:: §34.9.
Encodings:: BibTeX

…