Exact solutions of non-autonomous quantum systems with quadratic Hamiltonian
文献类型：期刊论文
| 作者 | Jie, QL; Wang, SJ; Wei, LF |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 1999-01-30 |
| 卷号 | 31页码:107-112 |
| 关键词 | non-autonomous quantum systems algebraic dynamics |
| ISSN号 | 0253-6102 |
| 英文摘要 | Based on algebraic dynamics, we present an algorithm to obtain exact solutions of the Schrodinger equation of non-autonomous quantum systems with Hamiltonian expressed in quadratic function of creation and annihilation operators of bosons. The Hamiltonian is treated as a linear function of generators of a symplectic group. Similar to the canonical transformation of classical dynamics, we employ a set of gauge transformations to gradually transform the Hamiltonian to a linear function of Cartan operators. The exact solutions are obtained by inverse gauge transformations. When the system is autonomous, this algorithm can obtain the normal mode of the Hamiltonian, as well as the eigenstates and eigenvalues. |
| WOS关键词 | LINEAR NONAUTONOMOUS SYSTEM ; GROUP THEORETICAL APPROACH ; SEMICLASSICAL DYNAMICS ; COLLISIONS ; MOLECULES ; OPERATOR ; FIELD |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000079463600016 |
| 出版者 | HUAZHONG UNIV SCI TECH PRESS |
| 源URL | [http://119.78.100.186/handle/113462/35811]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Jie, QL |
| 作者单位 | 1.SW Jiaotong Univ, Inst Modern Phys, Chengdu 610031, Peoples R China 2.Lanzhou Univ, Dept Modern Phys, Lanzhou 730000, Peoples R China 3.CCAST, World Lab, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jie, QL,Wang, SJ,Wei, LF. Exact solutions of non-autonomous quantum systems with quadratic Hamiltonian[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,1999,31:107-112. |
| APA | Jie, QL,Wang, SJ,&Wei, LF.(1999).Exact solutions of non-autonomous quantum systems with quadratic Hamiltonian.COMMUNICATIONS IN THEORETICAL PHYSICS,31,107-112. |
| MLA | Jie, QL,et al."Exact solutions of non-autonomous quantum systems with quadratic Hamiltonian".COMMUNICATIONS IN THEORETICAL PHYSICS 31(1999):107-112. |
入库方式： OAI收割
来源：近代物理研究所
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