Exact algebraic solutions for the energy eigenvalues and eigenstates of the asymmetric rotor are found using an infinite-dimensional algebraic method. The theory exploits a mapping from the Jordan Schwinger realization of the SO(3)tSU(2) algebra to a complementary SU(1, 1) structure. The Bethe ansat
Algebraic approach to the asymmetric rigid rotor
✍ Scribed by Adelio Matamala-Vásquez; Josep Planelles
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 172 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
A pure algebraic treatment of the eigenvalue equation corresponding to the asymmetric top is presented. The algebraic method employs the Holstein-Primakoff bosonic realization of the angular momentum algebra. Explicit determination of the linear boson transformation coefficients of the eigenstates is carried out by means of the coherent states formalism. No reference to special functions is needed and a completely algebraic approach is achieved.
📜 SIMILAR VOLUMES
The hlagnus approsimation is used to fiid a closed solution to the forced anharmonic oscillator described by the SU(2) algebra. Tbc solution is compared to an esact integration of the SchrBdinger equation. TWO types of time-dependent perturbation are considered: periodic and of finite duration.
A new realization of the algebra SU( 1.1). associated nitil the one-dimensional Morse oscillator. is introduced. Thr catculation of the Morse reflection zunpli:udc is then formulrtted via a recently established algebraic npproxh to the sc311erinp matrix In rhis approach the invariance group of the
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