Macroscopic quantum tunneling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge University Press
2002
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| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 211 S. graph. Darst. |
| ISBN: | 0521800021 |
Internformat
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| 245 | 1 | 0 | |a Macroscopic quantum tunneling |c Shin Takagi |
| 250 | |a 1. publ. | ||
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| 300 | |a X, 211 S. |b graph. Darst. | ||
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| 500 | |a Includes bibliographical references and index | ||
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| 650 | 4 | |a Tunneling (Physics) | |
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Datensatz im Suchindex
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|---|---|
| adam_text | . MACROSCOPIC QUANTUM TUNNELING SHIN TAKAGI FUJI TOKOHA UNIVERSITY,
FUJI, JAPAN CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE VIII
ACKNOWLEDGEMENTS X 1 INTRODUCTION 1 1.1 THE CAT AND THE MOON 1 1.2
LEGGETT PROGRAM 4 1.3 WHAT IS MEANT BY MACROSCOPIC ? 6 1.3.1 INTUITIVE
CONSIDERATION 6 1.3.2 S-CATTINESS 7 1.4 MACROSCOPIC QUANTUM TUNNELING 9
1.4.1 LEGGETT PROGRAM AND MACROSCOPIC QUANTUM TUNNELING 9 1.4.2
CLASSIFICATION OF MACROSCOPIC QUANTUM TUNNELING: MQC AND MQT 13
EXERCISES 16 2 OVERVIEW OF MACROSCOPIC QUANTUM TUNNELING 17 2.1 STANDARD
FORM OF HAMILTONIAN AND SCHROEDINGER EQUATION: DIMENSIONAL ANALYSIS 17
2.2 OVERVIEW OF MQC 20 2.3 OVERVIEW OF MQT 25 2.4 FORMULAS FOR
GROUND-STATE ENERGY SPLITTING AND DECAY RATE 30 2.5 QUANTUM DECAY AND
IRREVERSIBLE PROCESSES 32 2.6 EUCLIDEAN ACTION: BOUNCE AND INSTANTEN 34
EXERCISES 38 3 SOME CANDIDATE SYSTEMS FOR MACROSCOPIC QUANTUM TUNNELING
41 3.1 SQUID 41 3.1.1 JOSEPHSON JUNCTION AND EQUIVALENT CIRCUIT FOR
SQUID 41 3.1.2 PHASE DIFFERENCE AND MAGNETIC FLUX 44 V VI CONTENTS 3.1.3
EQUATION OF MOTION FOR MAGNETIC FLUX 46 3.1.4 NAIVE QUANTUM THEORY 47
3.1.5 FRICTION COEFFICIENT 52 3.2 LIQUID 3 HE- 4 HE MIXTURE 53 3.2.1
PHASE SEPARATION IN LIQUID 3 HE- 4 HE MIXTURE 53 3.2.2 RAYLEIGH-PLESSET
MODEL 56 3.2.3 NAIVE QUANTUM THEORY 58 3.2.4 FIELD THEORY OF NUCLEATION
62 3.3 SINGLE-DOMAIN MAGNET 72 3.3.1 NAIVE QUANTUM THEORY 74 3.3.2
LONGITUDE BASIS AND LONGITUDE-REPRESENTED WAVEFUNCTION 77 3.3.3
LONGITUDE REPRESENTATION OF SPIN OPERATOR 82 3.3.4 LONGITUDE-REPRESENTED
SCHROEDINGER EQUATION AND ITS CONSEQUENCES 85 3.3.5 SYMMETRY AND
INTERFERENCE EFFECT 88 EXERCISES 91 4 ENVIRONMENTAL PROBLEMS 95 4.1
COHERENCE AND DECOHERENCE 95 4.2 GENERAL DISCUSSION OF DEPHASING IN MQC
96 4.3 DISSIPATIVE ENVIRONMENT 102 4.4 NON-DISSIPATIVE ENVIRONMENT 106
4.5 QUANTUM ZENO EFFECT 110 EXERCISES 114 5 HARMONIC ENVIRONMENT 117 5.1
LINEARLY-COUPLED HARMONIC-ENVIRONMENT MODEL 117 5.2 HEISENBERG EQUATION
OF MOTION: PART 1 120 5.3 ENVIRONMENTAL FREQUENCY DISTRIBUTION FUNCTION
123 5.4 RETARDED RESISTANCE FUNCTION 124 5.5 HEISENBERG EQUATION OF
MOTION: PART 2 126 5.6 EQUATION OF MOTION IN THE CLASSICAL REGIME 128
EXERCISES 131 6 QUANTUM RESONANT OSCILLATION IN THE HARMONIC ENVIRONMENT
133 6.1 PRELIMINARY CONSIDERATION ON PERTURBATION THEORY 133 6.2
PERTURBATION THEORY OF TIME EVOLUTION 138 6.3 MACROSCOPIC QUANTUM
RESONANT OSCILLATION 143 6.4 ESTIMATION OF QUANTUM-RESONANCE FREQUENCY
147 EXERCISES 149 7 QUANTUM DECAY IN THE HARMONIC ENVIRONMENT 151 7.1
CONJECTURES ON DECAY RATE 151 CONTENTS VLL 7.2 EUCLIDEAN ACTION
FUNCTIONAL AND BOUNCE 152 7.2.1 EFFECTIVE EUCLIDEAN ACTION FUNCTIONAL
AND A STATIONARY POINT 153 7.2.2 EFFECTIVE EUCLIDEAN ACTION FUNCTIONAL
IN THE HARMONIC-ENVIRONMENT MODEL 154 7.3 BOUNCE AND DECAY RATE IN A
BILINEAR MODEL 157 7.4 REMARK ON DECAY RATE AT FINITE TEMPERATURES 159
EXERCISES 160 8 GENERAL VERSUS HARMONIC ENVIRONMENTS 161 8.1 MODIFIED
BORN-OPPENHEIMER BASIS 161 8.2 MODIFIED BORN-OPPENHEIMER REPRESENTATION
FOR HAMILTONIAN 164 8.3 CALDEIRA-LEGGETT ASSUMPTION 166 EXERCISES 170 9
THE CAT IN THE MOONLIGHT 171 9.1 MACROREALISM 171 9.2 LEGGETT-GARG
INEQUALITY 172 9.3 MEASURABLE CORRELATION FUNCTIONS 174 9.4
QUANTUM-MECHANICAL CORRELATION FUNCTION 175 9.5 THOUGHT EXPERIMENT TO
TEST LEGGETT-GARG INEQUALITY 177 9.6 CONCLUDING REMARKS 184 EXERCISES
185 APPENDIX A. EUCLIDEAN SPACE AND HILBERT SPACE 187 A.L
THREE-DIMENSIONAL EUCLIDEAN SPACE 187 A.2 HILBERT SPACE 187 APPENDIX B.
VIRTUAL GROUND STATE OF A SYSTEM OF A SINGLE DEGREE OF FREEDOM AND ITS
DECAY 189 B.L ENERGY EIGENFUNCTION 189 B.2 QUASI-STATIONARY WAVE 191 B.3
RESONANCE AND VIRTUAL BOUND STATES 192 B.4 DECAY OF THE VIRTUAL GROUND
STATE 193 APPENDIX C. FUNCTIONAL DERIVATIVE 195 APPENDIX D. MISCELLANEA
ABOUT SPIN 199 D.L SPIN OPERATOR 199 D.2 SPIN-1/2 DECOMPOSITION OF SPIN
5 200 D.3 SPIN DISENTANGLEMENT THEOREM 201 D.4 SPIN COHERENT STATE 203
BIBLIOGRAPHY 207 INDEX 209
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| id | DE-604.BV014515923 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:03:13Z |
| institution | BVB |
| isbn | 0521800021 |
| language | English Japanese |
| lccn | 2002071508 |
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| owner_facet | DE-355 DE-BY-UBR DE-703 DE-91G DE-BY-TUM DE-11 |
| physical | X, 211 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Takagi, Shin Verfasser aut Macroscopic quantum tunneling Shin Takagi 1. publ. Cambridge [u.a.] Cambridge University Press 2002 X, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Effet tunnel Tunneling (Physics) Tunneleffekt (DE-588)4136216-0 gnd rswk-swf Tunneleffekt (DE-588)4136216-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009886446&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Takagi, Shin Macroscopic quantum tunneling Effet tunnel Tunneling (Physics) Tunneleffekt (DE-588)4136216-0 gnd |
| subject_GND | (DE-588)4136216-0 |
| title | Macroscopic quantum tunneling |
| title_auth | Macroscopic quantum tunneling |
| title_exact_search | Macroscopic quantum tunneling |
| title_full | Macroscopic quantum tunneling Shin Takagi |
| title_fullStr | Macroscopic quantum tunneling Shin Takagi |
| title_full_unstemmed | Macroscopic quantum tunneling Shin Takagi |
| title_short | Macroscopic quantum tunneling |
| title_sort | macroscopic quantum tunneling |
| topic | Effet tunnel Tunneling (Physics) Tunneleffekt (DE-588)4136216-0 gnd |
| topic_facet | Effet tunnel Tunneling (Physics) Tunneleffekt |
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