Using an algebraic approach, it is possible to obtain the temporal evolution wave function for a Gaussian wavepacket obeying the quadratic time-dependent Hamiltonian(QTDH). However, in general, most of the practical cases are not exactly solvable, for we need general solutions of the Riccatti equations which are not generally known. We therefore bypass directly solving for the temporal evolution wave function, and study its inverse problem. We start with a particular evolution of the wave-packet, and get th...
【英文摘要】
Using an algebraic approach, it is possible to obtain the temporal evolution wave function for a Gaussian wavepacket obeying the quadratic time-dependent Hamiltonian(QTDH). However, in general, most of the practical cases are not exactly solvable, for we need general solutions of the Riccatti equations which are not generally known. We therefore bypass directly solving for the temporal evolution wave function, and study its inverse problem. We start with a particular evolution of the wave-packet, and get th...
【基金】
supported by the National Natural Science Foundation of China(Grant No.11347171);
the Natural Science Foundation of Hebei Province of China(Grant No.A2012108003);
the Key Project of Educational Commission of Hebei Province of China(Grant No.ZD2014052)
【更新日期】
2015-08-20
【分类号】
O413.1
【正文快照】
1.Introductiontion methods.[29–31]Therefore,it is also worth making the ef-fort to obtain the solutions of the time-dependent inverse har-The harmonic oscillator[1]is an extremely importantmodel in quantum mechanics and leads to many importantmonic oscil
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