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

Research on the Theory of Landau-Zener Problems

Author CaoYaFeng
Tutor HouBangPin;WeiLianFu
School Sichuan Normal University
Course Theoretical Physics
Keywords Landau-Zener Tunneling Time evolution operator Tunneling probability Two-level system Spin - boson model Dissipative system
CLC O413.1
Type Master's thesis
Year 2011
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Energy level Landau-Zener tunneling is a basic and important quantum phenomenon , it exists and there is a wide range of applications in various physical systems . In this thesis, a variety of two-level systems , the Landau-Zener tunneling probability theory and methods of computation , and focuses on the time evolution operator method , and this method is accurate to solve all kinds of closed complex two-level system of tunnel wear a chance . Paper is divided into five chapters , of which the third chapter of the time evolution operator method is accurate for solving the two-level system , the tunneling probability for my work , the full text of the specific content is organized as follows : The first chapter briefly describes the Landau-Zener tunneling phenomena research background, current situation and the practical significance of the study . The second chapter describes what Landau-Zener tunneling study the tunnel wearing the specific model of the phenomenon , while recalling physicist Zener initial description of this tunnel phenomenon : the original Zener tunneling model . Finally, a two-level system driven cycle field tunneling model . Chapter III , we present the time evolution operator method and accurate solving the ideal two-level system tunneling probability , the use of graphics and intuitive analysis of each system tunneling probability relationship changes over time , by comparison with other methods and fully reflects the simplicity and feasibility of this approach . Chapter brief dissipative tunneling model and the tunneling probability of the two-level system . Chapter V summarizes the specific content of this study , and gives a brief introduction to the work and ideas of our next step .

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