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Exact solution of a quantum forced time-dependent harmonic oscillator

机译：量子强迫时间谐振子的精确解

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摘要

The Schrodinger equation is used to exactly evaluate the propagator, wave function, energy expectation values, uncertainty values, and coherent state for a harmonic oscillator with a time dependent frequency and an external driving time dependent force. These quantities represent the solution of the classical equation of motion for the time dependent harmonic oscillator.

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Yeon, Kyu Hwang; George, Thomas F.; Um, Chung IN;
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年度 1992
页码 1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
EQUATIONS OF MOTION; HARMONIC OSCILLATORS; QUANTUM MECHANICS; QUANTUM THEORY; SCHROEDINGER EQUATION; TIME DEPENDENCE; WAVE FUNCTIONS; EIGENVECTORS; OPERATORS (MATHEMATICS); THEORETICAL PHYSICS;

机译：运动方程;谐波振荡器;量子力学;量子理论; sCHROEDINGER方程;时间依赖;波函数;特征向量;经营者（数学）;理论物理;

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专利

1. Forced Time-Dependent Harmonic Oscillator in a Static Magnetic Field: Exact Quantum and Classical Solutions [J] . Mai-Lin Liang, Wen-Qing Zhang International Journal of Theoretical Physics . 2003,第12期

机译：静磁场中受时间限制的谐振子：精确的量子和经典解
2. Forced time-dependent harmonic oscillator in a static magnetic field: Exact quantum and classical solutions [J] . Liang ML., Zhang WQ. International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2003,第12期

机译：静磁场中受时间限制的谐振子：精确的量子和经典解
3. Quantum and Classical Exact Solutions of Harmonic Oscillator in a Time-Dependent Magnetic Field [J] . LIANG Mai-Lin, LIU Li-Yan Communications in Theoretical Physics . 2005,第6期

机译：时变磁场中谐振子的量子和经典精确解
4. Exact solution to a quantum-forced anharmonic oscillator [C] . JiaLun Zhang, Shanghai Univ. of Science, Technology, 1992 Shanghai International Symposium on Quantum Optics . 1992

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5. Coherence and decoherence processes of a harmonic oscillator coupled with finite temperature field: Exact eigenbasis solution of Kossakowski-Linblad's equation [D] . Tay, Buang Ann 2004

机译：与有限温度场耦合的谐振子的相干和去相干过程：Kossakowski-Linblad方程的精确本征基解
6. Continuous variable quantum optical simulation for time evolution of quantum harmonic oscillators [O] . Xiaowei Deng, Shuhong Hao, Hong Guo, -1

机译：用于量子谐波振荡器时间演化的连续变量量子光学仿真
7. Exact solution of a quantum forced time-dependent harmonic oscillator [O] . George, Thomas F., Yeon, Kyu Hwang, Um, Chung IN 1992

机译：量子强迫时变谐波振荡器的精确解

Exact solution of a quantum forced time-dependent harmonic oscillator

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