Geometry, topology, and physics
This book introduces several current mathematical methods to postgraduate students of theoretical physics. This is achieved by presenting applications of the mathematics to physics, high-energy physics, general relativity and condensed matter physics
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Được phát hành: |
A. Hilger
2015
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/40681 |
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oai:scholar.dlu.edu.vn:DLU123456789-406812023-11-11T05:11:38Z Geometry, topology, and physics Mikio Nakahara Geometry Mathematical physics This book introduces several current mathematical methods to postgraduate students of theoretical physics. This is achieved by presenting applications of the mathematics to physics, high-energy physics, general relativity and condensed matter physics Quantum Physics -- Analytical mechanics -- Newtonian mechanics -- Lagrangian formalism -- Hamiltonian formalism -- Canonical quantization -- Hilbert space, bras and kets -- Axioms of canonical quantization -- Heisenberg equation, Heisenberg picture and Schrodinger picture -- Wavefunction -- Harmonic oscillator -- Path integral quantization of a Bose particle -- Path integral quantization -- Imaginary time and partition function -- Time-ordered product and generating functional -- Harmonic oscillator -- Transition amplitude -- Partition function -- Path integral quantization of a Fermi particle -- Fermionic harmonic oscillator -- Calculus of Grassmann numbers -- Differentiation -- Integration -- Delta-function -- Gaussian integral -- Functional derivative -- Complex conjugation -- Coherent states and completeness relation -- Partition function of a fermionic oscillator -- Quantization of a scalar field -- Free scalar field -- Interacting scalar field -- Quantization of a Dirac field -- Gauge theories -- Abelian gauge theories -- Non-Abelian gauge theories -- Higgs fields -- Magnetic monopoles -- Dirac monopole -- The Wu-Yang monopole -- Charge quantization -- Instantons -- The (anti- )self-dual solution -- Mathematical Preliminaries -- Equivalence relation and equivalence class -- Vector spaces -- Vectors and vector spaces -- Linear maps, images and kernels -- Dual vector space -- Inner product and adjoint -- Tensors -- Topological spaces -- Continuous maps -- Neighbourhoods and Hausdorff spaces -- Closed set. 2015-01-12T09:29:16Z 2015-01-12T09:29:16Z 1990 Book 0852740948 9780852740941 0852740956 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/40681 en application/pdf A. Hilger |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Geometry Mathematical physics |
| spellingShingle |
Geometry Mathematical physics Mikio Nakahara Geometry, topology, and physics |
| description |
This book introduces several current mathematical methods to postgraduate students of theoretical physics. This is achieved by presenting applications of the mathematics to physics, high-energy physics, general relativity and condensed matter physics |
| format |
Book |
| author |
Mikio Nakahara |
| author_facet |
Mikio Nakahara |
| author_sort |
Mikio Nakahara |
| title |
Geometry, topology, and physics |
| title_short |
Geometry, topology, and physics |
| title_full |
Geometry, topology, and physics |
| title_fullStr |
Geometry, topology, and physics |
| title_full_unstemmed |
Geometry, topology, and physics |
| title_sort |
geometry, topology, and physics |
| publisher |
A. Hilger |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/40681 |
| _version_ |
1782537797055283200 |