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Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism Book

Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism
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  • Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism
  • Written by author Alisa Bokulich
  • Published by Cambridge University Press, October 2008
  • The relation between quantum mechanics and classical mechanics, argued from historical, philosophical, and scientific perspectives.
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Authors

Acknowledgements ix

Introduction 1

1 Intertheoretic relations: Are imperialism and isolationism our only options? 4

1.1 Introduction 4

1.2 Traditional accounts of reductionism 6

1.3 Theoretical pluralism 8

1.4 The limits of the classical limit 14

1.5 Decoherence and the case of Hyperion 21

1.6 Conclusion 27

2 Heisenberg's closed theories and pluralistic realism 29

2.1 Introduction 29

2.2 Abgeschlossene Theorie 31

2.3 Holism, incommensurability, and revolutionary theory change 34

2.4 Theoretical pluralism and realism 38

2.5 The case of Ptolemaic astronomy 42

2.6 The disunity of science 45

3 Dirac's open theories and the reciprocal correspondence principle 49

3.1 Open theories 49

3.2 Structures, analogies, and the reciprocal correspondence principle 51

3.3 A gradualist model of theory change 58

3.4 Beauty and the unity of science 60

3.5 Dirac and the Einstein-Bohr debate 63

4 Bohr's generalization of classical mechanics 73

4.1 The rise and fall of the old quantum theory 73

4.2 The correspondence principle 81

4.3 Quantum theory as a rational generalization 94

4.4 The indispensability of classical concepts 97

4.5 Is Bohr a reductionist or pluralist? 99

4.6 Conclusion 101

5 Semiclassical mechanics: Putting quantum flesh on classical bones 104

5.1 Introduction 104

5.2 A phoenix from the ashes: Semiclassical mechanics 106

5.3 The helium atom solved 110

5.4 Rydberg atoms and electron trajectories 114

5.5 Wavefunction scars and periodic orbits 125

5.6 Conclusion 130

6 Can classical structures explain quantum phenomena? 135

6.1 Introduction 135

6.2 The reality and explanatory power of classical trajectories137

6.3 Three kinds of model explanations 140

6.4 A general account of model explanations 144

6.5 From structural explanations to structural model explanations 147

6.6 Putting understanding back into explanation 151

7 A structural approach to intertheoretic relations 156

7.1 The challenge of semiclassical mechanics: Reassessing the views 156

7.2 Structural realism without realism ... or antirealism 164

7.3 Beyond reductionism and pluralism: Interstructuralism 171

7.4 Conclusion 174

References 177

Index 191


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