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Quantum mechanics for nuclear structure. Volume 2, An intermediate level view /
The first volume of Quantum Mechanics for Nuclear Structure introduced the reader to the basic elements that underpin the one-body formulation of quantum mechanics. Volume two follows on from its predecessor by examining topics essential for understanding the many-body formulation. The algebraic str...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2020]
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| Colección: | IOP ebooks. 2020 collection.
IOP series in nuclear spectroscopy and nuclear structure. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 024 | 7 | |a 10.1088/978-0-7503-2171-6 |2 doi | |
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| 050 | 4 | |a QC174.12 |b .H497 2020eb vol. 2 | |
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| 082 | 0 | 4 | |a 530.12 |2 23 |
| 100 | 1 | |a Heyde, Kris L. G., |d 1942- |e author. | |
| 245 | 1 | 0 | |a Quantum mechanics for nuclear structure. |n Volume 2, |p An intermediate level view / |c Kris Heyde, John L. Wood. |
| 264 | 1 | |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |b IOP Publishing, |c [2020] | |
| 300 | |a 1 online resource (various pagings) : |b illustrations (some color). | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a electronic |2 isbdmedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a IOP ebooks. [2020 collection] | |
| 490 | 1 | |a IOP series in nuclear spectroscopy and nuclear structure | |
| 500 | |a "Version: 20200401"--Title page verso. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 1. Representation of rotations, angular momentum and spin -- 1.1. Rotations in (3, R) -- 1.2. Matrix representations of spin and angular momentum operators -- 1.3. The Pauli spin matrices -- 1.4. Matrix representations of rotations in ket space -- 1.5. Tensor representations for SU(2) -- 1.6. Tensor representations for SO(3) -- 1.7. The Schwinger representations for SU(2) -- 1.8. A spinor function basis for SU(2) -- 1.9. A spherical harmonic basis for SO(3) -- 1.10. Spherical harmonics and wave functions -- 1.11. Spherical harmonics and rotation matrices -- 1.12. Properties of the rotation matrices -- 1.13. The rotation of <jm| -- 1.14. The rotation of the Ylm([theta],[phi]) -- 1.15. Exercises -- 1.16. Spin-1/2 particles; neutron interferometry -- 1.17. The Bargmann representation -- 1.18. Coherent states for SU(2) -- 1.19. Properties of SU(2) from coherent states -- 1.20. Exercises | |
| 505 | 8 | |a 2. Addition of angular momenta and spins -- 2.1. The coupling of two spin-1/2 particles -- 2.2. The general coupling of two particles with spin or angular momentum -- 2.3. Spin-orbit coupling -- 2.4. Vector spherical harmonics -- 2.5. Clebsch-Gordan coefficients and rotation matrices -- 2.6. The coupling of many spins and angular momenta and their recoupling | |
| 505 | 8 | |a 3. Vector and tensor operators -- 3.1. Vector operators -- 3.2. Tensor operators -- 3.3. Matrix elements of spherical tensor operators and the Wigner-Eckart theorem | |
| 505 | 8 | |a 4. Identical particles -- 4.1. Slater determinants -- 4.2. The occupation number representation for bosons -- 4.3. The occupation number representation for fermions -- 4.4. Hamiltonians and other operators in the occupation number representation -- 4.5. Condensed states (superconductors and superfluids) -- 4.6. The Lipkin model | |
| 505 | 8 | |a 5. Group theory and quantum mechanics -- 5.1. Definition of a group -- 5.2. Groups and transformation -- 5.3. Transformation on physical systems -- 5.4. Quantum mechanics : a synoptic view -- 5.5. Symmetry transformations in quantum mechanics -- 5.6. Models with symmetry in quantum mechanics -- 5.7. Groups and algebras -- 5.8. Dynamical or spectrum generating algebras -- 5.9. Matrix groups -- 5.10. Generators of continuous groups and Lie algebras -- 5.11. The unitary and orthogonal groups in n dimensions, U(n) and SO(n) -- 5.12. Casimir invariants and commuting operators | |
| 505 | 8 | |a 6. Algebraic structure of quantum mechanics -- 6.1. Angular momentum theory as an application of a Lie algebra -- 6.2. The Lie algebra su(1,1) ~ sp(1,R) -- 6.3. Rank-2 Lie algebras -- 6.4. so(5) and models with 'quadrupole' degrees of freedom (Bohr model) -- 6.5. The Lie algebra sp(3, R) and microscopic models of nuclear collectivity -- 6.6. Young tableaux -- 6.7. Introduction to Cartan theory of Lie algebras | |
| 505 | 8 | |a 7. Perturbation theory and the variational method -- 7.1. Time-independent perturbation theory -- 7.2. Time-independent perturbation theory for systems with degeneracy -- 7.3. An example of (second-order) degenerate perturbation theory -- 7.4. Perturbation theory and symmetry -- 7.5. The variational method | |
| 505 | 8 | |a 8. Time-dependent perturbation theory -- 8.1. The interaction picture -- 8.2. Time-dependent perturbation theory -- 8.3. Constant perturbations and Fermi's golden rule | |
| 505 | 8 | |a 9. Electromagnetic fields in quantum mechanics -- 9.1. The quantization of the electromagnetic field -- 9.2. The interaction of the electromagnetic field with matter -- 9.3. The emission and absorption of photons by atoms -- 10. Epilogue. | |
| 520 | 3 | |a The first volume of Quantum Mechanics for Nuclear Structure introduced the reader to the basic elements that underpin the one-body formulation of quantum mechanics. Volume two follows on from its predecessor by examining topics essential for understanding the many-body formulation. The algebraic structure of quantum theory is emphasised throughout as an essential aspect of the mathematical formulation of many-body quantum systems. Part of IOP Series in Nuclear Spectroscopy and Nuclear Structure. | |
| 521 | |a Nuclear physics students (upper level undergraduate/graduate). | ||
| 530 | |a Also available in print. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 538 | |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
| 545 | |a Kris Heyde is Professor Emeritus in the Department of Physics and Astronomy at Ghent University. He continues to work on joint research projects with both experimental and theoretical nuclear physicists. His research interests include learning how collectivity emerges starting from a microscopic point of view, and he has a long-standing interest in the presence of shape coexistence in atomic nuclei, in particular studying the conditions needed to be realized throughout the nuclear mass table. John Wood John Wood is a Professor Emeritus in the School of Physics at Georgia Institute of Technology. He continues to collaborate on research projects in both experimental and theoretical nuclear physics. Special research interests include nuclear shapes and systematics of nuclear structure. | ||
| 588 | 0 | |a Title from PDF title page (viewed on May 6, 2020). | |
| 650 | 0 | |a Quantum theory. | |
| 650 | 0 | |a Nuclear structure. | |
| 650 | 7 | |a Nuclear physics. |2 bicssc | |
| 650 | 7 | |a SCIENCE / Physics / Nuclear. |2 bisacsh | |
| 700 | 1 | |a Wood, J. L. |q (John L.), |d 1941- |e author. | |
| 710 | 2 | |a Institute of Physics (Great Britain), |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9780750321693 |z 9780750321723 |
| 830 | 0 | |a IOP ebooks. |p 2020 collection. | |
| 830 | 0 | |a IOP series in nuclear spectroscopy and nuclear structure. | |
| 856 | 4 | 0 | |u https://iopscience.uam.elogim.com/book/978-0-7503-2171-6 |z Texto completo |