Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields
详细信息 查看全文
- 作者：V.G. Ibarra-Sierraa ; J.C. Sandoval-Santanaa ; J.L. Cardosob ; A. Kunoldb ; akb@correo.azc.uam.mx" class="auth_mail" title="E-mail the corresponding author
- 关键词：Quantum harmonic oscillator ; Charged particle in electromagnetic fields ; Lie algebra ; Evolution operator ; Ion trap ; Microwave induced magnetoresistance oscillations
- 刊名：Annals of Physics
- 出版年：2015
- 出版时间：November 2015
- 年：2015
- 卷：362
- 期：Complete
- 页码：83-117
- 全文大小：557 K
文摘
- •
We deal with the general quadratic Hamiltonian and a particle in electromagnetic fields.
- •
The evolution operator is worked out through the Lie algebraic approach.
- •
We also obtain the propagator and Heisenberg picture position and momentum operators.
- •
Analytical expressions for a rotating quadrupole field ion trap are presented.
- •
Exact solutions for magneto-transport in variable electromagnetic fields are shown.