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Coefficients of Talmi and of Moshinsky and Smirnov for the harmonic oscillator basis
| Content Provider | Scilit |
|---|---|
| Author | Hassan, M. H. |
| Copyright Year | 1980 |
| Description | Journal: Journal of Physics A: General Physics Following the works of Schwinger (1965) and Bargmann (1962) on the three-dimensional rotation-group, the author constructs new generating functions for the Talmi coefficients (1952) and the Moshinsky-Smirnov coefficients (1952). Such a construction is achieved by manipulating a new generating function for the harmonic oscillator spherical basis. The latter generating function is constructed in turn from the well-known generating functions for the Laguerre polynomials and the spherical harmonics. The material is used to get new expressions for the Talmi and Moshinsky-Smirnov coefficients, which are particularly appropriate to hand and machine calculations. The author also mentions how particular relations both for the Talmi and the Moshinsky-Smironv coefficients can be obtained from the general expressions. Finally, new expressions, which are useful from a practical point of view, between Moshinsky-Smirnov coefficients are established. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/13/6/014/pdf |
| Ending Page | 1924 |
| Page Count | 22 |
| Starting Page | 1903 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/13/6/014 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 6 |
| Volume Number | 13 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1980-06-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Three Dimensional Harmonic Oscillator Laguerre Polynomial Spherical Harmonic Generating Function |
| Content Type | Text |
| Resource Type | Article |
