College Physics ›› 2020, Vol. 39 ›› Issue (03): 20-23.doi: 10.16854 / j.cnki.1000-0712.190356
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GOU Li-dan
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Abstract:
In non-commutative phase space，energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator is analyzed by using the invariant eigen-operator method. The explicit expressions for two kinds of three - mode harmonic oscillators： no coupling and coordinate - momentum coupling are obtained. Some expressions λ0，1 and λ1，1 have be connected with non-commutative parameters θ and φ，others λ0，2 and λ1，2 do not.It is discussed about theeffect of coupling parameters on energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator.The results show that the coupling parameters κ and η have the similar effect on the λ1，1 .Furthermore，they do not have any effect on the λ1，1 when κ and η are equal.
Key words: invariant eigen-operator method, non-commutative phase space, harmonic oscillator ')">coordinate-momentum coupling harmonic oscillator
GOU Li-dan. Energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator in non-commutative phase space [J].College Physics, 2020, 39(03): 20-23.
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URL: https://dxwl.bnu.edu.cn/EN/10.16854 / j.cnki.1000-0712.190356
https://dxwl.bnu.edu.cn/EN/Y2020/V39/I03/20
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