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The Lorentz group in the oscillator realization. III. The group SO(3,1)

โœ Scribed by Basu, Debabrata

Book ID
121211741
Publisher
American Institute of Physics
Year
1981
Tongue
English
Weight
822 KB
Volume
22
Category
Article
ISSN
0022-2488

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โœ Shi-Hai Dong ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

A realization of the creation and annihilation operators for the pseudoharmonic oscillator is presented. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are obtained for the matrix elements of different functions r 2 and r ~r" (~)