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Holland - Quantum Theory of Motion - An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge, 1995).pdf

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Holland - Quantum Theory of Motion - An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge, 1995).pdf

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Holland - Quantum Theory of Motion - An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge, 1995).pdf

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文档介绍:Contents
Preface page xvii
1 Quantum mechanics and its interpretation 1
The nature of the problem 1
The wavefunction and the Schrbdinger equation 2
pleteness assumption 7
Einstein's point of view 11
The causal interpretation 15
De Broglie and Bohm 15
What the great men said 20
Some objections 24
2 Hamilton-Jacobi theory 27
The need for mon language 27
The Hamilton-Jacobi method in classical mechanics 29
Hamilton's principal function 29
The action function 33
A single particle 35
Properties of the Hamilton-Jacobi function 36
The nonuniqueness of S for a given mechanical problem 36
The basic law of motion 38
Multivalued trajectory fields 40
The propagation of the S-function 4 1
Classical statistical mechanics 45
Conservation of probability 45
Connection with Liouville's equation 49
Pure and mixed states 52
Classical mechanics as a field theory 55
The wave equation of classical mechanics 55
The potential step 58
Generalization - internal potentials 6 1
X Contents
3 Elements of the quantum theory of motion
The basic postulates
Wave and particle equations of motion
Reformulation of the Schrodinger equation
Single-valuedness of the wavefunction
Introduction of the particle
What about mutation relations?
Minimalist causal interpretation
Properties of the model
Context dependence
Relative status of field and particle
Classically-free motion
Effect of external potential on field and particle
Factorizable and nonfactorizable wavefunctions
with other field theories
Are there quantum jumps?
Trajectories do not cross, or pass through nodes
Empty waves
Conditions for interference
Generalizati