On the quantum dynamics of a general time-dependent coupled oscillator

被引：0
|
作者：
Zerimeche, R. [1 ,2 ]
Mana, N. [1 ]
Sekhri, M. [1 ]
Amaouche, N. [1 ]
Maamache, M. [1 ]
机构：
[1] Univ Ferhat Abbas Setif 1, Fac Sci, Lab Phys Quant & Syst Dynam, Setif 19000, Algeria
[2] Univ Jijel, Phys Dept, Lab Theoret Phys, BP 98, Jijel 18000, Algeria
来源：
MODERN PHYSICS LETTERS B | 2023年 / 37卷 / 09期
关键词：
Time-dependent quantum system; invariant theory; coupled oscillator; canonical; unitary transformation; HARMONIC-OSCILLATOR; CHARGED-PARTICLE; ERMAKOV SYSTEMS; WAVE-FUNCTIONS; ENTANGLEMENT; MODEL; SYMMETRIES; PROPAGATOR; ELECTRONS; FREQUENCY;
D O I：
10.1142/S0217984922502220
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
By using the Lewis-Riesenfeld invariants theory, we investigate the quantum dynamics of a two-dimensional (2D) time-dependent coupled oscillator. We introduce a unitary transformation and show the conditions under which the invariant operator is uncoupled to describe two simple harmonic oscillators with time-independent frequencies and unit masses. The decouplement allows us to easily obtain the corresponding eigenstates. The generalization to three-dimensional (3D) time-dependent coupled oscillator is briefly discussed where a diagonalized invariant, which is exactly the sum of three simple harmonic oscillators, is obtained under specific conditions on the parameters.
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页数：11
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