MARC details
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05316cam a22004815i 4500 |
| 001 - CONTROL NUMBER |
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21770755 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20211126145542.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m |o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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171101s2017 gw |||| o |||| 0|eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2019760151 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319878355 (Pbk) |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-64612-1 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(DE-He213)978-3-319-64612-1 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
pn |
| -- |
rda |
| Transcribing agency |
IISERB |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PHU |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PHU |
| Source |
thema |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
SCI040000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
530.12 W82Q |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Woit, Peter. |
| 9 (RLIN) |
27794 |
| 245 10 - TITLE STATEMENT |
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| Title |
Quantum Theory, Groups and Representations : |
| Remainder of title |
An Introduction |
| Statement of responsibility, etc |
by Peter Woit. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. 2017. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Switzerlan: |
| Name of publisher, distributor, etc |
Springer Nature, |
| Date of publication, distribution, etc |
2017. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXII, 668 pages 27 illustrations |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface -- 1 Introduction and Overview -- 2 The Group U(1) and its Representations -- 3 Two-state Systems and SU(2) -- 4 Linear Algebra Review, Unitary and Orthogonal Groups -- 5 Lie Algebras and Lie Algebra Representations -- 6 The Rotation and Spin Groups in 3 and 4 Dimensions -- 7 Rotations and the Spin 1/2 Particle in a Magnetic Field -- 8 Representations of SU(2) and SO(3) -- 9 Tensor Products, Entanglement, and Addition of Spin -- 10 Momentum and the Free Particle -- 11 Fourier Analysis and the Free Particle -- 12 Position and the Free Particle -- 13 The Heisenberg group and the Schrödinger Representation -- 14 The Poisson Bracket and Symplectic Geometry -- 15 Hamiltonian Vector Fields and the Moment Map -- 16 Quadratic Polynomials and the Symplectic Group -- 17 Quantization -- 18 Semi-direct Products -- 19 The Quantum Free Particle as a Representation of the Euclidean Group -- 20 Representations of Semi-direct Products -- 21 Central Potentials and the Hydrogen Atom -- 22 The Harmonic Oscillator -- 23 Coherent States and the Propagator for the Harmonic Oscillator -- 24 The Metaplectic Representation and Annihilation and Creation Operators, d = 1 -- 25 The Metaplectic Representation and Annihilation and Creation Operators, arbitrary d -- 26 Complex Structures and Quantization -- 27 The Fermionic Oscillator -- 28 Weyl and Clifford Algebras -- 29 Clifford Algebras and Geometry -- 30 Anticommuting Variables and Pseudo-classical Mechanics -- 31 Fermionic Quantization and Spinors -- 32 A Summary: Parallels Between Bosonic and Fermionic Quantization -- 33 Supersymmetry, Some Simple Examples -- 34 The Pauli Equation and the Dirac Operator -- 35 Lagrangian Methods and the Path Integral -- 36 Multi-particle Systems: Momentum Space Description -- 37 Multi-particle Systems and Field Quantization -- 38 Symmetries and Non-relativistic Quantum Fields -- 39 Quantization of Infinite dimensional Phase Spaces -- 40 Minkowski Space and the Lorentz Group -- 41 Representations of the Lorentz Group -- 42 The Poincaré Group and its Representations -- 43 The Klein-Gordon Equation and Scalar Quantum Fields -- 44 Symmetries and Relativistic Scalar Quantum Fields -- 45 U(1) Gauge Symmetry and Electromagnetic Field -- 46 Quantization of the Electromagnetic Field: the Photon -- 47 The Dirac Equation and Spin-1/2 Fields -- 48 An Introduction to the Standard Model -- 49 Further Topics -- A Conventions -- B Exercises -- Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Group theory. |
| 9 (RLIN) |
27795 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Lie groups. |
| 9 (RLIN) |
27796 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical physics. |
| 9 (RLIN) |
27797 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Quantum physics. |
| 9 (RLIN) |
27798 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Topological groups. |
| 9 (RLIN) |
27799 |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical Physics. |
| 9 (RLIN) |
27800 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Group Theory and Generalizations. |
| 9 (RLIN) |
27801 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Quantum Physics. |
| 9 (RLIN) |
27802 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Topological Groups, Lie Groups. |
| 9 (RLIN) |
27803 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Title |
Quantum theory, groups and representations. |
| International Standard Book Number |
9783319646107 |
| Record control number |
(DLC) 2017949168 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783319646107 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783319646114 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9783319878355 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
0 |
| b |
ibc |
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origres |
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u |
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ncip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
