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Squeezed Number State Solutions of Generalized Two-Mode Harmonic Oscillators Model:an Algebraic Approach |
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| Authors: | JIN Shuo XIE Bing-Hao ZHANG Hong-Biao GE Mo-Lin |
| Affiliation: | Department of Physics, School of Science, Beihang University, Beijing 100083, China;Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China;Liuhui Center for Applied Mathematics, Tianjin 300071, China Beijing Information Technology Institute, Beijing 100101, China Department of Physics, Northeast Normal University, Changchun 130024, China Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China;Liuhui Center for Applied Mathematics, Tianjin 300071, China |
| Abstract: | Some analytical solutions of generalized two-mode harmonic oscillators model are obtained by utilizing an algebraic diagonalization method. We find two types of eigenstates which are formulated as extended SU(1,1), SU(2)squeezed number states respectively. Some statistical properties of these states are also discussed. |
| Keywords: | generalized harmonic oscillators squeezed number state algebraic diagonalization method |
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