Application of group symmetry to spectral problems of quantum mechanics |
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| Authors: | V. G. Bagrov A. S. Vshivtsev V. N. Chekalin |
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| Affiliation: | (1) Institute for Radiotechnics, Electronics, and Automatics, Moscow;(2) Institute for HighCurrent Electronics, Academy of Sciences of the USSR, Siberian Branch, Tomsk |
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| Abstract: | On the basis of a representation of the SU(2) group, a multiparameter potential of the anharmonic oscillator is constructed. A method of finding its solutions is indicated, and in particular cases, explicit expressions for the wave function and the corresponding energy values are obtained.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No.5, pp. 90–94, May, 1988.In conclusion, the authors thank A. V. Borisov and V. Ch. Zhukovskii for useful discussion of some results of this paper. |
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