The geometric phase in quantum systems: foundations, mathematical concepts, and applications in molecular and condensed matter physics
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Texts and monographs in physics
Physics and astronomy online library |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 429 - 436 |
| Beschreibung: | XXI, 439 S. graph. Darst. |
| ISBN: | 3540000313 9783540000310 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV014799362 | ||
| 003 | DE-604 | ||
| 005 | 20130815 | ||
| 007 | t | ||
| 008 | 021001s2003 d||| |||| 00||| eng d | ||
| 016 | 7 | |a 965288943 |2 DE-101 | |
| 020 | |a 3540000313 |9 3-540-00031-3 | ||
| 020 | |a 9783540000310 |9 978-3-540-00031-0 | ||
| 035 | |a (OCoLC)50718862 | ||
| 035 | |a (DE-599)BVBBV014799362 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-703 |a DE-11 |a DE-20 |a DE-188 | ||
| 050 | 0 | |a QC20.7.G44 | |
| 082 | 0 | |a 530.12 |2 21 | |
| 084 | |a UK 1000 |0 (DE-625)145785: |2 rvk | ||
| 084 | |a UK 1200 |0 (DE-625)145792: |2 rvk | ||
| 084 | |a PHY 022f |2 stub | ||
| 245 | 1 | 0 | |a The geometric phase in quantum systems |b foundations, mathematical concepts, and applications in molecular and condensed matter physics |c A. Bohm ... |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a XXI, 439 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Texts and monographs in physics | |
| 490 | 0 | |a Physics and astronomy online library | |
| 500 | |a Literaturverz. S. 429 - 436 | ||
| 650 | 7 | |a Differentiaalmeetkunde |2 gtt | |
| 650 | 7 | |a Hilbertruimten |2 gtt | |
| 650 | 4 | |a Invariants adiabatiques | |
| 650 | 7 | |a Kwantummechanica |2 gtt | |
| 650 | 7 | |a Mathematische fysica |2 gtt | |
| 650 | 7 | |a Molecuulfysica |2 gtt | |
| 650 | 4 | |a Phases géometriques quantiques | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 7 | |a Vaste stoffen |2 gtt | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Adiabatic invariants | |
| 650 | 4 | |a Geometric quantum phases | |
| 650 | 4 | |a Quantum theory | |
| 650 | 0 | 7 | |a Berry-Phase |0 (DE-588)4296737-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenmechanisches System |0 (DE-588)4300046-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantenmechanisches System |0 (DE-588)4300046-0 |D s |
| 689 | 0 | 1 | |a Berry-Phase |0 (DE-588)4296737-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Böhm, Arno |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m SWB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010015328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010015328 | ||
Datensatz im Suchindex
| _version_ | 1804129575126433792 |
|---|---|
| adam_text | TABLE OF CONTENTS 1. INTRODUCTION . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. QUANTAL PHASE
FACTORS FOR ADIABATIC CHANGES . . . . . . . . . . . . 5 2.1 INTRODUCTION
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 5 2.2 ADIABATIC APPROXIMATION . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 10 2.3 BERRY*S ADIABATIC PHASE . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4
TOPOLOGICAL PHASES AND THE AHARONOV*BOHM EFFECT . . . . . . . . . 22
PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 29 3. SPINNING QUANTUM SYSTEM IN AN
EXTERNAL MAGNETIC FIELD 31 3.1 INTRODUCTION . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.2 THE
PARAMETERIZATION OF THE BASIS VECTORS . . . . . . . . . . . . . . . . .
31 3.3 MEAD*BERRY CONNECTION AND BERRY PHASE FOR ADIABATIC EVOLUTIONS *
MAGNETIC MONOPOLE POTENTIALS. . . . 36 3.4 THE EXACT SOLUTION OF THE
SCHR¨ ODINGER EQUATION . . . . . . . . . . . . 42 3.5 DYNAMICAL AND
GEOMETRICAL PHASE FACTORS FOR NON-ADIABATIC EVOLUTION . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 48 PROBLEMS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 52 4. QUANTAL PHASES FOR GENERAL CYCLIC EVOLUTION . . . . . . .
. . . . . . 53 4.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . 53 4.2 AHARONOV*ANANDAN
PHASE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
4.3 EXACT CYCLIC EVOLUTION FOR PERIODIC HAMILTONIANS . . . . . . . . . .
. 60 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 64 5. FIBER BUNDLES AND GAUGE
THEORIES . . . . . . . . . . . . . . . . . . . . . . . 65 5.1
INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 65 5.2 FROM QUANTAL PHASES TO FIBER BUNDLES .
. . . . . . . . . . . . . . . . . . . 65 5.3 AN ELEMENTARY INTRODUCTION
TO FIBER BUNDLES . . . . . . . . . . . . . . 67 5.4 GEOMETRY OF
PRINCIPAL BUNDLES AND THE CONCEPT OF HOLONOMY 76 5.5 GAUGE THEORIES . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 87 5.6 MATHEMATICAL FOUNDATIONS OF GAUGE THEORIES AND GEOMETRY OF
VECTOR BUNDLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 95 PROBLEMS . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 XII TABLE
OF CONTENTS 6. MATHEMATICAL STRUCTURE OF THE GEOMETRIC PHASE I: THE
ABELIAN PHASE . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 107 6.1 INTRODUCTION . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 107 6.2 HOLONOMY
INTERPRETATIONS OF THE GEOMETRIC PHASE . . . . . . . . . . 107 6.3
CLASSIFICATION OF U (1) PRINCIPAL BUNDLES AND THE RELATION BETWEEN THE
BERRY*SIMON AND AHARONOV*ANANDAN INTERPRETATIONS OF THE ADIABATIC PHASE
. . . . . . . . . . . . . . . . . . . . 113 6.4 HOLONOMY INTERPRETATION
OF THE NON-ADIABATIC PHASE USING A BUNDLE OVER THE PARAMETER SPACE . . .
. . . . . . . . . . . . . . 118 6.5 SPINNING QUANTUM SYSTEM AND
TOPOLOGICAL ASPECTS OF THE GEOMETRIC PHASE . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 123 PROBLEMS . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 126 7. MATHEMATICAL STRUCTURE OF THE GEOMETRIC PHASE II: THE
NON-ABELIAN PHASE . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 129 7.1 INTRODUCTION . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 129 7.2 THE NON-ABELIAN
ADIABATIC PHASE . . . . . . . . . . . . . . . . . . . . . . . . 129 7.3
THE NON-ABELIAN GEOMETRIC PHASE . . . . . . . . . . . . . . . . . . . .
. . . 136 7.4 HOLONOMY INTERPRETATIONS OF THE NON-ABELIAN PHASE . . . .
. . . . 139 7.5 CLASSIFICATION OF U ( N ) PRINCIPAL BUNDLES AND THE
RELATION BETWEEN THE BERRY*SIMON AND AHARONOV*ANANDAN INTERPRETATIONS OF
NON-ABELIAN PHASE . . . . . . . . . . . . . . . . . . . . . 141 PROBLEMS
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 145 8. A QUANTUM PHYSICAL SYSTEM IN A
QUANTUM ENVIRONMENT * THE GAUGE THEORY OF MOLECULAR PHYSICS . . . . . .
. . . . . . . . . . . . 147 8.1 INTRODUCTION . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 8.2 THE
HAMILTONIAN OF MOLECULAR SYSTEMS . . . . . . . . . . . . . . . . . . . .
148 8.3 THE BORN*OPPENHEIMER METHOD . . . . . . . . . . . . . . . . . .
. . . . . . . 157 8.4 THE GAUGE THEORY OF MOLECULAR PHYSICS . . . . . .
. . . . . . . . . . . . . 166 8.5 THE ELECTRONIC STATES OF DIATOMIC
MOLECULE . . . . . . . . . . . . . . . . 174 8.6 THE MONOPOLE OF THE
DIATOMIC MOLECULE . . . . . . . . . . . . . . . . . . . 176 PROBLEMS . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 191 9. CROSSING OF POTENTIAL ENERGY SURFACES AND
THE MOLECULAR AHARONOV*BOHM EFFECT . . . . . . . . . . . . . . . . 195
9.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 195 9.2 CROSSING OF POTENTIAL ENERGY
SURFACES . . . . . . . . . . . . . . . . . . . . . 196 9.3 CONICAL
INTERSECTIONS AND SIGN-CHANGE OF WAVE FUNCTIONS . . . 198 9.4 CONICAL
INTERSECTIONS IN JAHN*TELLER SYSTEMS . . . . . . . . . . . . . . . 209
9.5 SYMMETRY OF THE GROUND STATE IN JAHN*TELLER SYSTEMS . . . . . . 213
9.6 GEOMETRIC PHASE IN TWO KRAMERS DOUBLET SYSTEMS . . . . . . . . . 219
9.7 ADIABATIC*DIABATIC TRANSFORMATION . . . . . . . . . . . . . . . . .
. . . . . . 222 TABLE OF CONTENTS XIII 10. EXPERIMENTAL DETECTION OF
GEOMETRIC PHASES I: QUANTUM SYSTEMS IN CLASSICAL ENVIRONMENTS . . . . .
. . . . . . . . 225 10.1 INTRODUCTION . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 225 10.2 THE SPIN
BERRY PHASE CONTROLLED BY MAGNETIC FIELDS . . . . . . . 225 10.2.1 SPINS
IN MAGNETIC FIELDS: THE LABORATORY FRAME . . . . . 225 10.2.2 SPINS IN
MAGNETIC FIELDS: THE ROTATING FRAME . . . . . . . 231 10.2.3 ADIABATIC
REORIENTATION IN ZERO FIELD . . . . . . . . . . . . . . . 237 10.3
OBSERVATION OF THE AHARONOV*ANANDAN PHASE THROUGH THE CYCLIC EVOLUTION
OF QUANTUM STATES . . . . . . . . . . . 248 PROBLEMS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 252 11. EXPERIMENTAL DETECTION OF GEOMETRIC PHASES II: QUANTUM
SYSTEMS IN QUANTUM ENVIRONMENTS . . . . . . . . . . . . . 255 11.1
INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 255 11.2 INTERNAL ROTORS COUPLED TO EXTERNAL
ROTORS . . . . . . . . . . . . . . . . 256 11.3 ELECTRONIC*ROTATIONAL
COUPLING . . . . . . . . . . . . . . . . . . . . . . . . . . 259 11.4
VIBRONIC PROBLEMS IN JAHN*TELLER SYSTEMS . . . . . . . . . . . . . . . .
. 260 11.4.1 TRANSITION METAL IONS IN CRYSTALS . . . . . . . . . . . . .
. . . . . . 261 11.4.2 HYDROCARBON RADICALS . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 264 11.4.3 ALKALI METAL TRIMERS . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 265 11.5 THE GEOMETRIC
PHASE IN CHEMICAL REACTIONS . . . . . . . . . . . . . . . 270 12.
GEOMETRIC PHASE IN CONDENSED MATTER I: BLOCH BANDS . . . 277 12.1
INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 277 12.2 BLOCH THEORY . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 278 12.2.1
ONE-DIMENSIONAL CASE . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 278 12.2.2 THREE-DIMENSIONAL CASE . . . . . . . . . . . . . . . . .
. . . . . . . . . . 280 12.2.3 BAND STRUCTURE CALCULATION . . . . . . .
. . . . . . . . . . . . . . . . . 281 12.3 SEMICLASSICAL DYNAMICS . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 12.3.1
EQUATIONS OF MOTION . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 283 12.3.2 SYMMETRY ANALYSIS . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 285 12.3.3 DERIVATION OF THE SEMICLASSICAL
FORMULAS . . . . . . . . . . . . 286 12.3.4 TIME-DEPENDENT BANDS . . . .
. . . . . . . . . . . . . . . . . . . . . . . 287 12.4 APPLICATIONS OF
SEMICLASSICAL DYNAMICS . . . . . . . . . . . . . . . . . . . . 288
12.4.1 UNIFORM DC ELECTRIC FIELD . . . . . . . . . . . . . . . . . . . .
. . . . . 288 12.4.2 UNIFORM AND CONSTANT MAGNETIC FIELD . . . . . . . .
. . . . . . 289 12.4.3 PERPENDICULAR ELECTRIC AND MAGNETIC FIELDS . . .
. . . . . . . 290 12.4.4 TRANSPORT . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 290 12.5 WANNIER FUNCTIONS. . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
292 12.5.1 GENERAL PROPERTIES . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 292 12.5.2 LOCALIZATION PROPERTIES . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 293 12.6 SOME ISSUES ON BAND
INSULATORS . . . . . . . . . . . . . . . . . . . . . . . . . . 295
12.6.1 QUANTIZED ADIABATIC PARTICLE TRANSPORT . . . . . . . . . . . . .
295 12.6.2 POLARIZATION . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 297 PROBLEMS . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299
XIV TABLE OF CONTENTS 13. GEOMETRIC PHASE IN CONDENSED MATTER II: THE
QUANTUM HALL EFFECT . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 301 13.1 INTRODUCTION . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 301 13.2 BASICS OF THE
QUANTUM HALL EFFECT . . . . . . . . . . . . . . . . . . . . . . . . 302
13.2.1 THE HALL EFFECT . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 302 13.2.2 THE QUANTUM HALL EFFECT . . . . . . . . . .
. . . . . . . . . . . . . . . 302 13.2.3 THE IDEAL MODEL . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 304 13.2.4 CORRECTIONS
TO QUANTIZATION . . . . . . . . . . . . . . . . . . . . . . . 305 13.3
MAGNETIC BANDS IN PERIODIC POTENTIALS . . . . . . . . . . . . . . . . .
. . . 307 13.3.1 SINGLE-BAND APPROXIMATION IN A WEAK MAGNETIC FIELD 307
13.3.2 HARPER*S EQUATION AND HOFSTADTER*S BUTTERFLY . . . . . . . . 309
13.3.3 MAGNETIC TRANSLATIONS . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 311 13.3.4 QUANTIZED HALL CONDUCTIVITY . . . . . . . . . . .
. . . . . . . . . . . . 314 13.3.5 EVALUATION OF THE CHERN NUMBER . . .
. . . . . . . . . . . . . . . . 316 13.3.6 SEMICLASSICAL DYNAMICS AND
QUANTIZATION . . . . . . . . . . . 318 13.3.7 STRUCTURE OF MAGNETIC
BANDS AND HYPERORBIT LEVELS . . 321 13.3.8 HIERARCHICAL STRUCTURE OF THE
BUTTERFLY . . . . . . . . . . . . . . 325 13.3.9 QUANTIZATION OF
HYPERORBITS AND RULE OF BAND SPLITTING . . . . . . . . . . . . . . . . .
. . . . . . . 327 13.4 QUANTIZATION OF HALL CONDUCTANCE IN DISORDERED
SYSTEMS . . . . 329 13.4.1 SPECTRUM AND WAVE FUNCTIONS . . . . . . . . .
. . . . . . . . . . . . 329 13.4.2 PERTURBATION AND SCATTERING THEORY .
. . . . . . . . . . . . . . . 331 13.4.3 LAUGHLIN*S GAUGE ARGUMENT . . .
. . . . . . . . . . . . . . . . . . . . 332 13.4.4 HALL CONDUCTANCE AS A
TOPOLOGICAL INVARIANT . . . . . . . . . 333 14. GEOMETRIC PHASE IN
CONDENSED MATTER III: MANY-BODY SYSTEMS . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 337 14.1 INTRODUCTION . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 337 14.2 FRACTIONAL QUANTUM HALL SYSTEMS . . . . . . . . . . . .
. . . . . . . . . . . . 337 14.2.1 LAUGHLIN WAVE FUNCTION . . . . . . .
. . . . . . . . . . . . . . . . . . . 337 14.2.2 FRACTIONAL CHARGED
EXCITATIONS . . . . . . . . . . . . . . . . . . . . . 340 14.2.3
FRACTIONAL STATISTICS . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 341 14.2.4 DEGENERACY AND FRACTIONAL QUANTIZATION . . . . . .
. . . . . . 344 14.3 SPIN-WAVE DYNAMICS IN ITINERANT MAGNETS . . . . . .
. . . . . . . . . . . 346 14.3.1 GENERAL FORMULATION . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 346 14.3.2 TIGHT-BINDING LIMIT
AND BEYOND . . . . . . . . . . . . . . . . . . . 348 14.3.3 SPIN WAVE
SPECTRUM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350
14.4 GEOMETRIC PHASE IN DOUBLY-DEGENERATE ELECTRONIC BANDS . . . . 353
PROBLEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 359 A. AN ELEMENTARY INTRODUCTION
TO MANIFOLDS AND LIE GROUPS 361 A.1 INTRODUCTION . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361 A.2
DIFFERENTIABLE MANIFOLDS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 371 A.3 LIE GROUPS . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 388 TABLE OF
CONTENTS XV B. A BRIEF REVIEW OF POINT GROUPS OF MOLECULES WITH
APPLICATION TO JAHN*TELLER SYSTEMS . . . . . . . . . . . . . . . . . 407
REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 429 INDEX . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 437
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV014799362 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.G44 |
| callnumber-search | QC20.7.G44 |
| callnumber-sort | QC 220.7 G44 |
| callnumber-subject | QC - Physics |
| classification_rvk | UK 1000 UK 1200 |
| classification_tum | PHY 022f |
| ctrlnum | (OCoLC)50718862 (DE-599)BVBBV014799362 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02252nam a2200601 c 4500</leader><controlfield tag="001">BV014799362</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130815 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">021001s2003 d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">965288943</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540000313</subfield><subfield code="9">3-540-00031-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540000310</subfield><subfield code="9">978-3-540-00031-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)50718862</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014799362</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.G44</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.12</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 1000</subfield><subfield code="0">(DE-625)145785:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 1200</subfield><subfield code="0">(DE-625)145792:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 022f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The geometric phase in quantum systems</subfield><subfield code="b">foundations, mathematical concepts, and applications in molecular and condensed matter physics</subfield><subfield code="c">A. Bohm ...</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXI, 439 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Texts and monographs in physics</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Physics and astronomy online library</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 429 - 436</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differentiaalmeetkunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hilbertruimten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Invariants adiabatiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Kwantummechanica</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematische fysica</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Molecuulfysica</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Phases géometriques quantiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie quantique</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Vaste stoffen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantentheorie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Adiabatic invariants</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometric quantum phases</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Berry-Phase</subfield><subfield code="0">(DE-588)4296737-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenmechanisches System</subfield><subfield code="0">(DE-588)4300046-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantenmechanisches System</subfield><subfield code="0">(DE-588)4300046-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Berry-Phase</subfield><subfield code="0">(DE-588)4296737-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Böhm, Arno</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">SWB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010015328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010015328</subfield></datafield></record></collection> |
| id | DE-604.BV014799362 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:07:19Z |
| institution | BVB |
| isbn | 3540000313 9783540000310 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010015328 |
| oclc_num | 50718862 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-11 DE-20 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-11 DE-20 DE-188 |
| physical | XXI, 439 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Texts and monographs in physics Physics and astronomy online library |
| spelling | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics A. Bohm ... Berlin [u.a.] Springer 2003 XXI, 439 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Physics and astronomy online library Literaturverz. S. 429 - 436 Differentiaalmeetkunde gtt Hilbertruimten gtt Invariants adiabatiques Kwantummechanica gtt Mathematische fysica gtt Molecuulfysica gtt Phases géometriques quantiques Théorie quantique Vaste stoffen gtt Quantentheorie Adiabatic invariants Geometric quantum phases Quantum theory Berry-Phase (DE-588)4296737-5 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Berry-Phase (DE-588)4296737-5 s DE-604 Böhm, Arno Sonstige oth SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010015328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics Differentiaalmeetkunde gtt Hilbertruimten gtt Invariants adiabatiques Kwantummechanica gtt Mathematische fysica gtt Molecuulfysica gtt Phases géometriques quantiques Théorie quantique Vaste stoffen gtt Quantentheorie Adiabatic invariants Geometric quantum phases Quantum theory Berry-Phase (DE-588)4296737-5 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4296737-5 (DE-588)4300046-0 |
| title | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics |
| title_auth | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics |
| title_exact_search | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics |
| title_full | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics A. Bohm ... |
| title_fullStr | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics A. Bohm ... |
| title_full_unstemmed | The geometric phase in quantum systems foundations, mathematical concepts, and applications in molecular and condensed matter physics A. Bohm ... |
| title_short | The geometric phase in quantum systems |
| title_sort | the geometric phase in quantum systems foundations mathematical concepts and applications in molecular and condensed matter physics |
| title_sub | foundations, mathematical concepts, and applications in molecular and condensed matter physics |
| topic | Differentiaalmeetkunde gtt Hilbertruimten gtt Invariants adiabatiques Kwantummechanica gtt Mathematische fysica gtt Molecuulfysica gtt Phases géometriques quantiques Théorie quantique Vaste stoffen gtt Quantentheorie Adiabatic invariants Geometric quantum phases Quantum theory Berry-Phase (DE-588)4296737-5 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Differentiaalmeetkunde Hilbertruimten Invariants adiabatiques Kwantummechanica Mathematische fysica Molecuulfysica Phases géometriques quantiques Théorie quantique Vaste stoffen Quantentheorie Adiabatic invariants Geometric quantum phases Quantum theory Berry-Phase Quantenmechanisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010015328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bohmarno thegeometricphaseinquantumsystemsfoundationsmathematicalconceptsandapplicationsinmolecularandcondensedmatterphysics |