* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download INFORMATION ON MASTER`S THESIS 1. Full name: VU THI MINH
Survey
Document related concepts
Magnetic nanoparticles wikipedia , lookup
Hall effect wikipedia , lookup
Scanning SQUID microscope wikipedia , lookup
Computational electromagnetics wikipedia , lookup
Electron paramagnetic resonance wikipedia , lookup
Eddy current wikipedia , lookup
Faraday paradox wikipedia , lookup
Magnetic monopole wikipedia , lookup
Multiferroics wikipedia , lookup
Magnetoreception wikipedia , lookup
Lorentz force wikipedia , lookup
Superconductivity wikipedia , lookup
Force between magnets wikipedia , lookup
Neutron magnetic moment wikipedia , lookup
Magnetohydrodynamics wikipedia , lookup
Electromagnetism wikipedia , lookup
Quantum electrodynamics wikipedia , lookup
Transcript
INFORMATION ON MASTER’S THESIS 1. Full name: VU THI MINH PHUONG 2. Sex: Female 3. Date of birth: 4. Place of birth: HAI DUONG 03/13/1979 5. Admission decision number: Dated: 6. Changes in academic process: Change from optics to theoretical physics and mathematical physics. 7. Official thesis title: Anomalous magnetic moment of electrons and methods Pauli – Villars in quantum field theory 8. Major: Theoretical physics and mathematical physics 9. Code: 60 44 01 10. Supervisors: Prof. Dr Nguyen Xuan Han - Faculty of Physics - University of Natural Sciences - National University Hanoi. 11. Summary of the finding of the thesis: Thesis: “Anomalous magnetic moment of electrons and methods Pauli – Villars in quantum field theory” study the anomalous magnetic moment of the electron in quantum field theory. The main complementary magnetic moment based on perturbation theory via covariant Feynman diagrams. The divergent integrals are solved by means of the Pauli-Villars - common methods and standards to preserve immutability. The main results of the master thesis includes 1. Pauli equation and the magnetic moment of the electron. 1.1 Pauli equation Starting from the Schrodinger equation with phenomenological thinking we obtain the Pauli equation with terms of the magnetic moment of electrons interacting with the external field: i r , sz , t t 2 1 e0 e p A e0 r U r 0 sH r , sz , t c 2m0c 2m0 (1.1) here, r , A( r ) is the scalar potential of the electric field vector. Equation (1.1) is the Pauli equation, by which we can explain Zeemann effects. 1 1.2 Dirac equation for the electron in the external field in the nonrelativistic limit v c I received Pauli equation by approximate non-relativistic Dirac equation in external electromagnetic field in approximate, v - is the velocity of the particle, and c is the speed of light. H nr H nr t 2 3 1 e e v 0 m0 c 2 ˆ B O 3 , p A eA 2m0 c 2m0c c 0 ˆ 0 i (1.2) If we were limited to positive, which means the first two components, then this equation with precision m0 c 2 to coincide with the Pauli equation for spin-½ particles in external electromagnetic fields. 1.3 The main additional relativistic Pauli equation The appointment followed the relativistic Pauli equation in higher-order approximation is obtained by using transformation-Wouthuyen Fouldy 2. The Feynman diagrams for the contribution to the anomalous magnetic moment of the electron 2.1 S-matrix Matrix expression: p2 S1 p1 p20 p10 R fi (2.1) R fi is determined by the following formula: 1/ 2 m2 R fi 2 e0 . 0 p10 p20 u p2 u p1 Aext p2 p1 (2.2) known as the scattering amplitude of electrons in a static external electric field (Coulomb potential field) in the first approximation of perturbation theory under electron. 2.2 Feynman diagrams for the contribution to the anomalous magnetic moment 2 Figure 1 «True the top» : p1 , p2 p1 , p2 (2.3) During that summit «ceiling», and p1 , p2 is determined by a set of schema Figure 1 Electromagnetic form factor 2.3 Physical significance of the electromagnetic form factor, especially in nonrelativistic approximation 3. Additional key to the anomalous magnetic moment 3.1. Additional key for anomalous moment in a loop approximation From the quadratic Feynman diagram in Figure 1 we have ie0 d 4q iD q iS p q iS p q ( p1, p2 ) F 2 F F 1 4 2 2 (3.1) Using the Pauli-Villars method we have isolated the ultraviolet divergent part and the finite part of the additional terms for the magnetic moment. Part finite expression: F2 (0) e2 8 2 (3.2) 3.2. Anomalous magnetic moment along with the additional quantum Anomalous magnetic moment of the electron in quantum electrodynamics is calculated to grade six, and weak interactions were included. The results we have: 3 1 g 1 0,32848 (1,195 0,026) 2 2 2 2 3 (3.3) 12. Practical applicability: The content of the thesis research has high-value applications, it is: The results obtained in the Master Thesis will be the basis for calculating the torque from the study of elementary particles in quantum field theory more complicated. .13. Further research directions: The study calculated the magnetic moment of the particles in the theory underlying the more complex 14. Thesis-related publications: None Date: 12/12/2012 Signature: Full name: Vu Thi Minh Phuong 4