Mathematical and conceptual foundations of 20th-century physics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
North-Holland
1984
|
| Series: | North-Holland mathematics studies
100 Notas de matemática 100 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 549 S. graph. Darst. |
| ISBN: | 0444875859 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Preface viii
PART I. CLASSICAL PHYSICS
Chap. 1. Mechanics 1
1. Newtonian formulation, 3
2. Lagrangean formulation, 15
3. Hamiltonian formulation, 23
Chap. 2. Thermodynamics and Statistical Mechanics 31
1. Temperature and heat, 33
2. Classical statistical mechanics, 48
Chap. 3. Electromagnetism 67
1. Phenomenological background, 68
2. The nature of light, 79
PART II. RELATIVITY
Chap. 4. Geometry 91
1. Galilean and Minkowskian geometries, 91
2. Curved space time geometries, 101
a. Differentiable manifolds, 102
b. Tangent bundle, 109
c. Riemannian and Lorentzian metrics, 110
d. Levi Cevita connection, 115
e. Tensorial expressions of curvature, 123
f. Covariant and exterior derivatives, 127
Chap. 5. The Principles of Special Relativity 133
1. Formulation of the principles, 134
2. Immediate consequences of the principles, 145
Chap. 6. General Relativity 161
1. Models for space time, 161
2. Electromagnetism revisited, 186
3. Models for matter, 191
vi
PART III. QUANTUM THEORY
Chap. 7. The old quantum theory 209
1. Black body radiation, 211
2. Electrons, photons and phonons, 220
3. The structure of the atom, 232
Chap. 8. Hilbert space formulation of quantum mechanics 249
1. The Heisenberg matrix formulation, 252
2. The Schroedinger wave mechanics, 276
3. Von Neumann s Hilbert space formalism, 295
a. The states, 297
b. The observables, 301
c. The expectation values, 309
d. Von Neumann algebras, 315
e. Symmetries, 320
f. The CCR for n degrees of freedom, 333
g. The classical limit, 339
4. Quantum scattering theory, 345
Chap. 9. The algebraic formulation of quantum mechanics 361
1. The fundamental postulate, 362
a. Basic mathematical structures, 362
b. Representations and GNS construction, 369
c. Physical equivalence and quasi equivalence, 375
d. Physical meaning of the C* algebraic postulate, 378
2. Non commutative ergodic theory, 383
a. C* inductive limits, 384
b. Norm asymptotic abelianness and observables at infinity, 386
c. Averages over group actions, 402
Chap. 10. Systems with infinitely many degrees of freedom 417
1. Quantum statistical mechanics, 417
a. Canonical equilibrium for finite systems, 418
b. KMS condition and modular actions, 432
c. Canonical equilibrium for infinite quantum lattices, 444
d. Ideal Fermi and Bose gases, 456
e. Spontaneous symmetry breaking and stability, 474
f. Non equilibrium quantum statistical mechanics, 483
2. Quantum field theory, 500
a. Elementary quantum systems in special relativity, 500
b. The relativistic Fock spaces, 504
c. Towards a general theory of quantum fields, 508
vii
Bibliography 515
Index 543
Chapter Interdependence
|
| any_adam_object | 1 |
| author | Emch, Gérard G. 1936- |
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| discipline | Physik Mathematik |
| era | Geschichte 1900-1980 gnd |
| era_facet | Geschichte 1900-1980 |
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| indexdate | 2024-07-09T16:00:24Z |
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| isbn | 0444875859 |
| language | English |
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| physical | X, 549 S. graph. Darst. |
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| publishDateSearch | 1984 |
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| publisher | North-Holland |
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| series | North-Holland mathematics studies Notas de matemática |
| series2 | North-Holland mathematics studies Notas de matemática |
| spelling | Emch, Gérard G. 1936- Verfasser (DE-588)12327415X aut Mathematical and conceptual foundations of 20th-century physics Amsterdam [u.a.] North-Holland 1984 X, 549 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematics studies 100 Notas de matemática 100 Geschichte 1900-1980 gnd rswk-swf Physique Physique mathématique Physique mathématique ram Physique ram Relativité (Physique) Relativité (physique) ram Théorie quantique Théorie quantique ram Mathematische Physik Quantentheorie Mathematical physics Physics Quantum theory Relativity (Physics) Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Physik (DE-588)4045956-1 s Geschichte 1900-1980 z DE-604 Quantentheorie (DE-588)4047992-4 s Mathematische Physik (DE-588)4037952-8 s Relativitätstheorie (DE-588)4049363-5 s North-Holland mathematics studies 100 (DE-604)BV000003247 100 Notas de matemática 100 (DE-604)BV000003771 100 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002197340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Emch, Gérard G. 1936- Mathematical and conceptual foundations of 20th-century physics North-Holland mathematics studies Notas de matemática Physique Physique mathématique Physique mathématique ram Physique ram Relativité (Physique) Relativité (physique) ram Théorie quantique Théorie quantique ram Mathematische Physik Quantentheorie Mathematical physics Physics Quantum theory Relativity (Physics) Relativitätstheorie (DE-588)4049363-5 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4049363-5 (DE-588)4047992-4 (DE-588)4037952-8 (DE-588)4045956-1 |
| title | Mathematical and conceptual foundations of 20th-century physics |
| title_auth | Mathematical and conceptual foundations of 20th-century physics |
| title_exact_search | Mathematical and conceptual foundations of 20th-century physics |
| title_full | Mathematical and conceptual foundations of 20th-century physics |
| title_fullStr | Mathematical and conceptual foundations of 20th-century physics |
| title_full_unstemmed | Mathematical and conceptual foundations of 20th-century physics |
| title_short | Mathematical and conceptual foundations of 20th-century physics |
| title_sort | mathematical and conceptual foundations of 20th century physics |
| topic | Physique Physique mathématique Physique mathématique ram Physique ram Relativité (Physique) Relativité (physique) ram Théorie quantique Théorie quantique ram Mathematische Physik Quantentheorie Mathematical physics Physics Quantum theory Relativity (Physics) Relativitätstheorie (DE-588)4049363-5 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Physique Physique mathématique Relativité (Physique) Relativité (physique) Théorie quantique Mathematische Physik Quantentheorie Mathematical physics Physics Quantum theory Relativity (Physics) Relativitätstheorie Physik |
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