By I. T. Todorov, D. Ter Haar
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Additional info for Analytic Properties of Feynman Diagrams in Quantum Field Theory
G. our eyes, by quantum theory. The resulting wavefunction now contains information describing this additional apparatus. It will remain a pure state. Quantum theory, therefore, when applied to individual systems, contains an internal contradiction. It cannot describe instruments suitable for making measurements. Faced with this situation, and bearing in mind the enormous success of quantum theory, it is natural that we should seek to modify it in such a way as to leave its successful predictions unchanged and yet to allow wavefunction reduction in appropriate circumstances.
Quantum theory 28 we have the situation shown in figure 1l(d). Our wavefunction has separated into two peaks, one reflected and one transmitted by the barrier. It is a consequence of the Schrodinger equation that, throughout the motion, the total area under the graph of the square of the Pr bility Poslt'lon of barrier Figure 11 Showing how the wavefunction for a particle incident on a potential barrier varies with time. The graphs ( a ) - ( d ) show the square of the magnitude of the wavefunction at four successive times.
The book is called The Origin of Consciousness in the Breakdown of the Bicameral Mind [ Harmondsworth: Penguin 19801 . ) Having agreed that we possess consciousness, do we know what it is? e. those we believe exist elsewhere, or abstract things which are purely our creation. But does such a vague description allow us to say where else it might exist, who, or what, might possess it? People? Yes, by extension of ourselves. But dogs? worms? amoebae? I hope my readers will allow me a personal note here.