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Quantum State and Physical Properties of Electron in the Quantum Wire under Time-dependent External Field

Author: LuGengBiao
Tutor: HaiWenHua
School: Hunan Normal University
Course: Condensed Matter Physics
Keywords: Quantum wire Exact solution Quantum transition Linear outfield
CLC: O413.1
Type: Master's thesis
Year: 2006
Downloads: 61
Quote: 0
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Abstract


The exact solution of the low-dimensional quantum system has been a very important and valuable work. Unlike quantum perturbation methods and numerical simulation methods, the exact analytical solution of the quantum system will give us presents accurate physical information, such as compression of coherent states, Berry phase and quantum transition, etc.. Quantum wires (nanowires), the electronic states of physical and electronic characteristics in mesoscopic systems has been very concerned about the problem, it is not only a very important physical problems, but also has potential applications, it will be the future nanocircuits nanodevices an important the physical theoretical basis. There is no doubt that the mesoscopic systems such as quantum wires the future nanoscale quantum circuit physical devices. In this paper, we study in linear time-field single electron quantum wire system, and the precise quantum state. Use of the quantum states, we discuss some of the quantum system interesting physical properties, such as coherence properties of quantum transition. The text is divided into four chapters: The first chapter briefly describes the status quo of research on low-dimensional systems, with detailed descriptions of the electronic transitions containing outfield driven research. The second chapter we study a single electronic system in linear time-field quantum wire imprisoned. By adopting the method of trial wave function and select the appropriate spatial and temporal variables, we get the corresponding exact quantum states of the quantum system. Precise quantum state by what we get, we study the the quantum wire imprisoned electronic squeezed coherent states characteristics, we found that the compressibility factor intercropping cyclical changes at any time, and there is instantaneous coherent state. By the quantum state of the obtained, we calculated the expected value of the coordinates and the momentum of the system, we found that the expected value of the coordinates and momentum is fully consistent with the results obtained by the classical Hamiltonian equation and, thus, in this system, we find the classical - Quantum corresponding. We also calculate the expectation value of the energy of the system, we found that the average energy is composed of two parts by the classic energy and quantum energy, which is completely different from the conclusions of the energy of the coherent state. Has been the use of precise containing non-steady state, we discussed in detail the electronic transition. First, we calculate the probability of electron transitions between different energy levels. For a weak field, we found that our results and from the results of quantum perturbation theory, However, with the increase of the laser intensity, the quantum perturbation theory can not give a reasonable physical results, but we get the exact results not subject to the limit of the intensity and frequency of the external field. In a strong field, by contrast, we found that our results are consistent with the results obtained by the Green's function method. We also given the expectation value of the energy in the transition process, Interestingly, we found that the resonance case there are interesting platform of energy, especially when the initial state of the electron in the ground state

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory > Quantum mechanics ( wave mechanics,matrix mechanics )
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