Geometric phases in physics:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1989
|
| Schriftenreihe: | Advanced series in mathematical physics
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 509 S. graph. Darst. |
| ISBN: | 9971505991 9971506211 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | xi
CONTENTS
Preface v
A Reader s Guide vii
Chapter 1 INTRODUCTION AND OVERVIEW 3
[1.1] M. V. Berry, The Quantum Phase, Five Years After * 7
[1.2] R. Jackiw, Three Elaborations on Berry s Connection,
Curvature and Phase, Int. J. Mod. Phys. A3 (1988)
285 297 29
Chapter 2 ANTICIPATIONS 45
[2.1] S. Pancharatnam, Generalized Theory of Interference,
and its Applications, from Collected Works of S. Pancharatnam
(Oxford University Press, UK, 1975) 51
[2.2] M. V. Berry, The Adiabatic Phase and Pancharatnam s
Phase for Polarized Light, /. Mod. Optics 34 (1987)
1401 1407 67
[2.3] G. Herzberg and H. C. Longuet Higgins, Intersection
of Potential Energy Surfaces in Polyatomic Molecules,
Disc. Farad. Soc. 35 (1963) 77 82 74
[2.4] A. J. Stone, Spin Orbit Coupling and the Intersection
of Potential Energy Surfaces in Polyatomic Molecules,
Proc. R. Soc. Land. A351 (1976) 141 150 80
[2.5] C. A. Mead and D. G. Trahlar, On the Determination of
Born Oppenheimer Nuclear Motion Wave Functions
Including Complications due to Conical Intersections and
Identical Nuclei, / Chem. Phys. 70 (05) (1979)
2284 2296 90
[2.6] Y. Aharonov and D. Bohm, Significance of Electromagnetic
Potentials in the Quantum Theory, Phys. Rev. 115 (1959) 485 104
Chapter 3 FOUNDATIONS 113
[3.1] M. V. Berry, Quantal Phase Factors Accompanying
Adiabatic Changes, Proc. R. Lottd. A392 (1984)45 57 124
* Original Contribution.
xii
[3.2] B. Simon, Holonomy, the Quantum Adiabatic Theorem, and
Berry s Phase, Phys. Rev. Lett. 51 (1983)2167 2170 137
[3.3] F. Wilczek and A. Zee, Appearance of Gauge Structure in
Simple Dynamical Systems, Phys. Rev. Lett. 52 (1984)
2111 2114 141
[3.4] Y. Aharonov and J. Anandan, Phase Change during a Cyclic
Quantum Evolution, Phys. Rev. Lett. 58 (1987) 1593 1596 145
[3.5] J. Samuel and R. Bhandari, General Setting for Berry s Phase,
Phys. Rev. Lett. 60 (1988) 2339 2342 149
[3.6] H. Kuratsuji and S. Iida, Effective Action for Adiabatic Process,
Prog. Theo.Phys. 74(1985)439 445 153
[3.7] J. Moody, A. Shapere and F. Wilczek, Adiabatic Effective
Lagrangians * 160
Chapter 4 SOME APPLICATIONS AND TESTS 187
[4.1] A. Tomita and R. Chiao, Observation of Berry s
Topological Phase by Use of an Optical Fiber, Phys. Rev.
Lett. 57 (1986) 937 940 193
[4.2] M. V. Berry, Interpreting the Anholonomy of Coiled
Light, Nature 326 (1987) 277 278 197
[4.3] J. Moody, A. Shapere and F. Wilczek, Realizations of
Magnetic Monopole Gauge Fields: Diatoms and Spin
Precession, Phys. Rev. Lett. 56 (1986) 893 896 199
[4.4] D. Suter, G. C. Chingas, R. A. Harris and A. Pines,
Berry s Phase in Magnetic Resonance, Mol. Phys. 61
(1987) 1327 1340 203
[4.5] R. Tycko, Adiabatic Rotational Splittings and Berry s Phase
in Nuclear Quadrupole Resonance, Phys. Rev. Lett. 58 (1987)
2281 2284 217
[4.6] D. Suter, K. T. Mueller and A. Pines, Study of the
Aharonov Anandan Quantum Phase by NMR Interferometry,
Phys. Rev. Lett. 60 (1988) 1218 1220 221
[4.7] A. Zee, Non Abelian Gauge Structure in Nuclear
Quadrupole Resonance, Phys. Rev. A38 (1988) 1 6 224
[4.8] C. A. Mead, Molecular Kramers Degeneracy and Non Abelian
Adiabatic Phase Factors, Phys. Rev. Lett. 59 (1987) 161 164 230
[4.9] B. Zygelman, Appearance of Gauge Potentials in Atomic
Collision Physics, Phys. Lett. A125 (1987)476 481 234
* Original Contribution.
xiii
[4.10] G. Delacretaz, E. R. Grant, R. L. Whetten, L. Woste
and J. W. Zwanziger, Fractional Quantization of Molecular
Pseudorotation in Na3 Phys. Rev. Lett. 56 (1986) 2598 2601 240
Chapter 5 FRACTIONAL STATISTICS 247
[5.1] F. Wilczek and A. Zee, Linking Numbers, Spin, and Statistics
of Solitons, i%ys. Rev. Lett. 51 (1983) 2250 2252 254
[5.2] Y. S. Wu, Multiparticle Quantum Mechanics Obeying
Fractional Statistics, Phys. Rev. Lett. 53(1984)111 114 257
[5.3] D. P. Arovas, R. Schrieffer, F. Wilczek and A. Zee,
Statistical Mechanics of Anyons, Nucl. Phys. B251 (1985)
117 126 261
Chapter 6 THE QUANTIZED HALL EFFECT 273
[6.1] D. Arovas, J. R. Schrieffer and F. Wilczek, Fractional
Statistics and the Quantum Hall Effect, Phys. Rev. Lett. 53
(1984) 722 723 282
[6.2] D. P. Arovas, Topics in Fractional Statistics * 284
[6.3] S. M. Girvin and A. H. MacDonald, Off Diagonal Long Range
Order, Oblique Confinement, and the Fractional Quantum
Hall Effect, i%ys. Rev. Lett 58 (1987) 1252 1255 323
[6.4] J. E. Avron, A. Raveh and B. Zur, Quantum Conductance in
Networks, Phys. Rev. Lett. 58 (1987) 2110 2113 327
[6.5] R. B. Laughlin, Superconducting Ground State of
Noninteracting Particles Obeying Fractional Statistics,
Phys. Rev. Lett. 60 (1988) 2677 2680 331
[6.6] M. Wilkinson, An Example of Phase Holonomy in WKB
Theory, /. Phys. All (1984)3459 3476 335
Chapter 7 WESS ZUMINO TERMS AND ANOMALIES 355
[7.1] M. Stone, Born Oppenheimer Approximation and the
Origin of Wess Zumino Terms: Some Quantum Mechanical
Examples, Phys. Rev. D33 (1986) 1191 361
[7.2] J. Goldstone and F. Wilczek, Fractional Quantum Numbers
on SoUom, Phys. Rev. Lett. 47 (1981) 986 365
[7.3] E. Witten, Global Aspects of Current Algebra, Nucl. Phys.
B223 (1983)422 . 369
* Original Contribution.
xiv
[7.4] I. J. R. Aitchison, Berry Phases, Magnetic Monopoles, and
Wess Zumino Terms or How the Skyrmion got its Spin, Acta
Phys. Polonica B18 (1987) 207 235 380
[7.5] P. Nelson and L. Alvarez Gaume, Hamiltonian Interpretation
of Anomalies, Commun. Math. Phys. 99 (1985) 103 114 409
Chapter 8 CLASSICAL SYSTEMS 423
[8.1] J. H. Hannay, Angle Variable Holonomy in Adiabatic Excursion
of an Integrable Hamiltonian, /. Phys. A18 (1985) 221 230 426
[8.2] M. V. Berry, Classical Adiabatic Angles and Quantal Adiabatic
Phase, /. Phys. A18 (1985) 15 27 436
[8.3] A. Shapere and F. Wilczek, Gauge Kinematics of Deformable
Bodies, to appear in A. J. Phys 449
[8.4] A. Shapere and F. Wilczek, Geometry of Self Propulsion at
Low Reynolds Number, /. FluidMech. 198(1989)557 585 461
Chapter 9 ASYMPTOTICS 493
[9.1] M. V. Berry, Quantum Phase Corrections From Adiabatic
Iteration, Proc. R. Soc. Lond. A414 (1987) 31 46 494
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| spelling | Geometric phases in physics [ed. by] Alfred Shapere ... Singapore u.a. World Scientific 1989 XIV, 509 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced series in mathematical physics 5 Groupes d'holonomie Géométrie Holonomie gtt Mathematische fysica gtt Natuurkunde gtt Physique mathématique Mathematische Physik Physik Geometric quantum phases Holonomy groups Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Holonomiegruppe (DE-588)4160487-8 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Holonomie gnd rswk-swf Holonomiegruppe (DE-588)4160487-8 s Mathematische Physik (DE-588)4037952-8 s DE-604 Geometrie (DE-588)4020236-7 s Holonomie f Shapere, Alfred Sonstige oth Advanced series in mathematical physics 5 (DE-604)BV000900258 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002200259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Geometric phases in physics Advanced series in mathematical physics Groupes d'holonomie Géométrie Holonomie gtt Mathematische fysica gtt Natuurkunde gtt Physique mathématique Mathematische Physik Physik Geometric quantum phases Holonomy groups Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Holonomiegruppe (DE-588)4160487-8 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4160487-8 (DE-588)4020236-7 (DE-588)4143413-4 |
| title | Geometric phases in physics |
| title_auth | Geometric phases in physics |
| title_exact_search | Geometric phases in physics |
| title_full | Geometric phases in physics [ed. by] Alfred Shapere ... |
| title_fullStr | Geometric phases in physics [ed. by] Alfred Shapere ... |
| title_full_unstemmed | Geometric phases in physics [ed. by] Alfred Shapere ... |
| title_short | Geometric phases in physics |
| title_sort | geometric phases in physics |
| topic | Groupes d'holonomie Géométrie Holonomie gtt Mathematische fysica gtt Natuurkunde gtt Physique mathématique Mathematische Physik Physik Geometric quantum phases Holonomy groups Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Holonomiegruppe (DE-588)4160487-8 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Groupes d'holonomie Géométrie Holonomie Mathematische fysica Natuurkunde Physique mathématique Mathematische Physik Physik Geometric quantum phases Holonomy groups Mathematical physics Holonomiegruppe Geometrie Aufsatzsammlung |
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