Quantum mechanics, diffusion and chaotic fractals
著者
書誌事項
Quantum mechanics, diffusion and chaotic fractals
Elsevier Science, 1995
1st ed
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注記
"Reprinted from Chaos, solitons and fractals, issues 4(3), 4(7) and 4(10) with additional material"--T.p. verso
Includes index
内容説明・目次
内容説明
The philosophical and analytical silhouette of quantum mechanics can only take shape against a background of classical mechanics. As classical mechanics has undergone a radical reappraisal with the discovery of deterministic chaos and fractals, then quantum mechanics must be looked at again from the viewpoint of nonlinear dynamics. This book does just that, not solely from the point of view of quantum chaos, but also by looking at the hidden chaotic roots of quantum mechanics. Several of the contributions included in the book are concerned with the geometrization of physics and its consequences for quantum mechanics. Besides the main theme of the book, other equally interesting interpretations are represented, including the cellular automaton version of quantum mechanics and a radical endophysical interpretation: another contribution looks at the possibility of chaos in Einstein's fundamental equations. This text is intended for engineers, physicists and mathematicians interested in quantum mechanics and nonlinear dynamics.
目次
- Quantum mechanics and chaotic fields
- quantum chaos, complex spectral representation and time-symmetry breaking, T. Petrosky and I. Prigogine
- scale relativity, fractal space-time and quantum mechanics, L. Nottale
- introduction to wave phenomena and uncertainty in a fractal space - I, A. Le Mehaute et al
- young double-slit experiment, Heisenberg uncertainty principle and cantoria space-time, M.S. El Naschie
- the quantum dimension of space-time, E. Alvarez et al
- intra-observer chaos - hidden root of quantum mechanics?, O.E. Rossler
- amplification of superpositional effects through electronic - conformational interactions, M. Conrad
- quantum cellular automation in 1-D, D.W. Belousek et al
- an energy-barrier model of biased transport in disordered systems, M. Giona
- chaos in the Einstein equations, S.E. Rugh.
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