Quanta, Logic and Spacetime (Google eBook)

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World Scientific, Jan 1, 2003 - Science
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Contents

Foundations
3
Quantum Sets
23
Group Duality Coherence and Cyclic Actions
41
Natural Deduction
73
5 Quantum Logic
91
The Computational Resources of Quantum Logic
137
A Quantum Net
179
Towards a Correspondence Principle for the Quantum Net
203
Dynamics I
279
Dynamics II
315
Comparisons Interpretations and Speculations
377
References
429
Citation Index
443
Notational Index and Glossary
451
Subject Index
457
Copyright

A Correspondence Principle for the Quantum Net
233

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Page ii - Quantum mechanical calculations follow a simple two-step pattern: you write down the answer, and then you do the computation.
Page 3 - pure states" of the system are in one-to-one correspondence with the normalized elements of the Hilbert space (hence in one-to-one correspondence with the rays, or one-dimensional subspaces, of the said Hilbert space). A general "state" of the system is identifiable with a certain convex combination of such normalized elements or pure states (cf.
Page 19 - Contraction then produces a sum of transition amplitudes whose value is independent of the representation of 6 as a linear combination of the type shown in equation (1.3.6).

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