| Solving Quantum—Nonautonomous System with Non—Hermitian Hanmiltonians by Algebraic Method |
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| 引用本文： | WEILian－Fu WANGShun－jin.Solving Quantum—Nonautonomous System with Non—Hermitian Hanmiltonians by Algebraic Method[J].理论物理通讯,2001,35(1):15-18. |
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| 作者姓名： | WEILian－Fu WANGShun－jin |
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| 作者单位： | [1]DepartmentofAppliedPhysics,ShanghaiJiaoTongUniversity,Shanghai200030,China；StateKeyLaboratoryofFunctionalmaterialsforInformatics,ShanghaiInstituteofmetallurgy,TheChineseAcademyo [2]DepartmentofAppliedPh,ShanghaiJiaoTongUniversity,Shanghai200030,China；StateKeyLaboratoryofFunctionalmaterialsforInformatics,ShanghaiInstituteofmetallurgy,TheChineseAcademyo |
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| 摘 要： | A convenient method to exactly solve the quantum-nonautonomous systems with non-Hermitian Hamiltonians is proposed.It is shown that a nonadiabatic complete biorthonormal set can be easily obtained by the gauge transformation method in which the algebraic structure of systems has been used.The nonuitary evolution operator is also found by choosing a special gauge function.All auxiliry parameters introduced in the present approach are only determined by some algebraic equations.The dynamics of two quantum-nonautonomous systems ruled by non-Hermitian Hamiltonians,including a two-photon ionization process involving two-state only and a mesoscopic RLC circuit with a source,are treated as the demonstration of our general approach.
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| 关 键 词： | 量子非自激系统 非厄尔米哈密顿 代数法求解 |
| 收稿时间： | 1999-09-28 |
Solving Quantum-Nonautonomous System with Non-Hermitian Hamiltonians by Algebraic Method |
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| WEI Lian-Fu,WANG Shun-Jin.Solving Quantum-Nonautonomous System with Non-Hermitian Hamiltonians by Algebraic Method[J].Communications in Theoretical Physics,2001,35(1):15-18. |
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| Authors: | WEI Lian-Fu WANG Shun-Jin |
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| Institution: | 1. Department of Applied Physics, Shanghai Jiao Tong
University, Shanghai 200030, China
;2. State Key Laboratory of Functional Materials for Informatics,
Shanghai Institute of Metallurgy, The Chinese Academy of Sciences,
Shanghai 200050, China
;3. Institute of Modern Physics, Southwest Jiao Tong University,
Chengdu 610031, China
;4. Department of Modern Physics, Lanzhou University, Lanzhou
730000, China |
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| Abstract: | A convenient method to exactly solve the quantum-nonautonomous systems with
non-Hermitian Hamiltonians is proposed. It is shown that a nonadiabatic
complete biorthonormal set can be easily obtained by the gauge
transformation method in which the algebraic structure of systems has been
used. The nonunitary evolution operator is also found by choosing a special
gauge function. All auxiliary parameters introduced in the present approach are only determined by some algebraic equations. The dynamics of two
quantum-nonautonomous systems ruled by non-Hermitian Hamiltonians, including a
two-photon ionization process involving two-state only and a mesoscopic RLC
circuit with a source, are treated as the demonstration of our general
approach. |
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| Keywords: | non-Hermitian quantum-nonautonomous system mesoscopic RLC circuit with a source |
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