| 청구기호 |
QC174.12 .H497 2020eb vol. 1 |
| 형태사항 |
1 online resource (various pagings) : illustrations.
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| 총서명 |
IOP ebooks. [2020 collection]
IOP series in nuclear spectroscopy and nuclear structure
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| 언어 |
English |
| 일반주기 |
"Version: 20191201"--Title page verso.
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| 서지주기 |
Includes bibliographical references.
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| 내용 |
1. A theory of polarized photons -- 1.1. Polarized lightwaves -- 1.2. Polarized photons -- 1.3. Uncertainty in experiments -- 1.4. Dirac bracket notation -- 1.5. Transformation properties of polarizing filter measurements -- 1.6. Multiples of kets -- 1.7. Exercises
2. A theory of the Stern-Gerlach experiment for spin-1-2 particles -- 2.1. The Stern-Gerlach experiment -- 2.2. Sequences of Stern-Gerlach measurements -- 2.3. State representation for spin-1-2 particles -- 2.4. The choice of basis kets -- 2.5. Exercises -- 2.6. An introduction to operators for spin-1-2 particles -- 2.7. Exercises
3. The axioms of quantum mechanics -- 3.1. Global axioms of observation -- 3.2. Axioms for quantum mechanical observations -- 3.3. Axioms for the mathematical structure of quantum mechanics -- 3.4. Axioms for the incorporation of h in quantum mechanics -- 3.5. Exercise
4. Linear spaces and linear operators -- 4.1. Definitions and theorems for linear spaces and linear operators -- 4.2. Linear spaces, Dirac bras and kets, and operators -- 4.3. Outer products of Dirac bras and kets -- 4.4. Exercises
5. The harmonic oscillator -- 5.1. The quantum mechanical one-dimensional harmonic oscillator -- 5.2. The quantum mechanical two-dimensional harmonic oscillator -- 5.3. Time dependence of the one-dimensional quantum harmonic oscillator -- 5.4. Exercises -- 5.5. Coherent states and the one-dimensional harmonic oscillator
6. Representations : matrices -- 6.1. Basics of matrix manipulation -- 6.2. Exercises -- 6.3. The two-level mixing problem -- 6.4. Exercises -- 6.5. Unitary transformations and matrix diagonalization -- 6.6. Exercises -- 6.7. Matrix diagonalization : the Jacobi method -- 6.8. Exercise
7. Observables and measurements -- 7.1. Basic concepts -- 7.2. The uncertainty relation -- 7.3. Exercises -- 7.4. Mixtures and the density matrix
8. Representations : position, momentum, wave functions, and function spaces -- 8.1. The concept of a wave function -- 8.2. The quantum mechanical structure of position and momentum -- 8.3. The wave-like properties of matter -- 8.4. Exercises
9. Quantum dynamics : time evolution and the Schr?odinger and Heisenberg pictures -- 9.1. Basic relations -- 9.2. Spin precession -- 9.3. Exercises -- 9.4. Correlation amplitude and the energy-time uncertainty relation -- 9.5. The Schr?odinger and Heisenberg pictures -- 9.6. The free particle in the Heisenberg picture -- 9.7. Schr?odinger's wave equation -- 9.8. Exercises -- 9.9. Alternative derivation of the energy-time uncertainty relation -- 9.10. Time-dependent phenomena -- 9.11. Time-dependent two-state problems -- 9.12. Exercise
10. Rotations and continuous transformation groups -- 10.1. Elements of group theory -- 10.2. Matrix groups -- 10.3. Exercises -- 10.4. Rotations in physical space -- 10.5. Exercise -- 10.6. Rotations of quantum mechanical states -- 10.7. Exercise
11. Angular momentum and spin in quantum mechanics -- 11.1. The algebra of angular momentum in quantum mechanics -- 11.2. Algebraic solution of the quantum mechanical angular momentum problem -- 11.3. Exercises
12. Central force problems -- 12.1. General features of central force problems -- 12.2. Central force problems, factorization algebra and isospectral Hamiltonians -- 12.3. The hydrogen atom central force problem -- 12.4. The three-dimensional isotropic harmonic oscillator central force problem -- 12.5. The three-dimensional isotropic infinite square well central force problem -- 12.6. Exercises -- 12.7. Central force problems and so(2, 1) or su(1, 1) algebra -- 12.8. so(2, 1) solution for the hydrogen atom -- 12.9. so(2, 1) solution for the three-dimensional isotropic harmonic oscillator
13. Motion of an electron in a uniform magnetic field -- 13.1. Maxwell's equations -- 13.2. The Landau level problem -- 13.3. Time dependence of the Landau problem -- 13.4. Exercises
Appendices. A. Commutator bracket relations for central force problems -- B. Radial wave functions for the hydrogen atom and the three-dimensional isotropic harmonic oscillator.
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| 주제 |
Quantum theory.
Nuclear structure.
Nuclear physics. --bicssc
SCIENCE / Physics / Nuclear. --bisacsh
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| 보유판 및 특별호 저록 |
Print version: 9780750321778 9780750321785
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| ISBN |
9780750321792, 9780750321808, 9780750321778, 9780750321785 |
| 기타 표준번호 |
10.1088/978-0-7503-2179-2 |
| QR CODE |
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