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Exact and approximated solutions for the harmonic and anharmonic repulsive oscillators: Matrix method
The European Physical Journal D ( IF 1.8 ) Pub Date : 2020-07-01 , DOI: 10.1140/epjd/e2020-10128-2 Braulio M. Villegas-Martínez , Héctor Manuel Moya-Cessa , Francisco Soto-Eguibar
中文翻译:
谐波和非谐斥力振荡器的精确解和近似解:矩阵法
更新日期:2020-07-01
The European Physical Journal D ( IF 1.8 ) Pub Date : 2020-07-01 , DOI: 10.1140/epjd/e2020-10128-2 Braulio M. Villegas-Martínez , Héctor Manuel Moya-Cessa , Francisco Soto-Eguibar
Abstract
We study the repulsive harmonic oscillator and an extension of this system, with an additional linear anharmonicity term. The system is solved in exact and perturbative form, the latter by using the so-called normalized perturbative matrix method. The perturbative solution up to second order is compared with the exact solution when the system is initially in coherent and a Schrödinger-cat states.Graphical abstract
中文翻译:
谐波和非谐斥力振荡器的精确解和近似解:矩阵法