Time-dependent harmonic oscillator in a magnetic field and an electric field on the non-commutative plane |
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| Authors: | Mai-Lin Liang Yue Jiang |
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| Institution: | Physics Department, School of Science, Tianjin University, Tianjin 300072, China |
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| Abstract: | In the non-commutative space, wave functions and geometric phases are derived for the time-dependent harmonic oscillator in external time-dependent magnetic and electric field. Explicit forms of the coherent states are also given, which are not the minimum uncertainty states for the coordinates and momenta. |
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| Keywords: | Non-commutative quantum mechanics Harmonic oscillator Geometric phase Coherent state |
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