On a new method of quantisation and some of its applications |
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| Authors: | K V Kademova M M Kraev |
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| Institution: | (1) International Centre for Theoretical Physics, Trieste, Italy;(2) Department of Mathematics, Faculty of Science, University of Khartoum, Khartoum, Sudan;(3) Present address: Departamento de Matemáticas, Universidad Industrial de Santander, Bucaramanga, Colombia;(4) Present address: Departamento de Fisica-Postgrado, Universidad Industrial de Santander, Bucaramanga, Colombia |
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| Abstract: | Any quantum-mechanical problem withO(2,1) as SGA (spectrum-generating algebra) is considered as a single oscillator related to a new quantisation. In the case of small interactions the problems can be solved within essentially Fock representations while in the case of strong attractive potentials they can be solved only within the essentially non-Fock representations of the new commutation relations. Explicit realisations of a system ofn oscillators through para-Bose operators have been constructed.On leave of absence from the Institute of Physics, Bulgarian Academy of Sciences, Sofia, Bulgaria. |
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