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Solving the anharmonic oscillator problem with the SU(2) group

Abstract : A new perspective for the anharmonic oscillator problem based on the SU(2) group method (SGM) is provided. One finds that the SGM is a possible unified approach to treat both the harmonic oscillator and the anharmonic oscillator, although for the latter only part of the energy spectrum can be obtained. Coordinate translation x → x + λ for the anharmonic potential is also discussed, as one expects that the energy spectrum of an anharmonic oscillator is not affected by the translation.
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http://hal.in2p3.fr/in2p3-00168111
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Submitted on : Friday, August 24, 2007 - 3:01:05 PM
Last modification on : Monday, July 20, 2020 - 9:18:26 AM

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J.-L. Chen, L.C. Kwek, C.H. Oh, Yehan Liu. Solving the anharmonic oscillator problem with the SU(2) group. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2001, 34, pp.8889-8899. ⟨10.1088/0305-4470/34/42/312⟩. ⟨in2p3-00168111⟩

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