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EbookBell Team
5.0
28 reviews
ISBN 10: 9812382100
ISBN 13: 9789812382108
Author: Croca J R
The author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.
1 Introduction
2 Complementarity Principle and the Nonlocal Fourier Analysis
2.1 Introduction
2.2 Fourier nonlocal analysis
2.2.1 The quantum operators Px and X
2.3 The measurement and the collapse of the wave train
2.3.1 Measurement without physical interaction
2.4 Heisenberg uncertainty relations and the complementarity principle
2.4.1 Other derivations of Heisenberg's uncertainty relations
2.4.2 Meaning of the uncertainty relations
2.5 References
3 New Generation of Microscopes
3.1 Introduction
3.2 The common Fourier microscopes
3.3 Tunneling super-resolution microscope
3.3.1 Measurements of first and second kind
3.4 Apertureless optical microscope
3.5 References
4 Beyond Heisenberg's Uncertainty Relations
4.1 Introduction
4.2 Wavelet local analysis
4.3 Some elements of the causal theory of de Broglie
4.4 A nonlinear Schrodinger equation
4.4.1 Derivation of the nonlinear master Schrodinger equation
4.4.2 Some particular solutions of the nonlinear Schrodinger equation
4.4.3 A mathematical model for the quantum particle
4.4.4 An example of the application of the model
4.5 Local Paradigm in place of the nonlocal Fourier Paradigm
4.6 Derivation of a more general set of uncertainty relations
4.7 Experiments to test the general validity of the usual uncertainty relations
4.7.1 Photon Ring Experiment
4.7.2 Limitless Expansion of Matter Wave packets
4.8 An Example of a Concrete Measurement that goes beyond Heisenberg's Uncertainty Relations
4.9 References
5 The Meaning of the Wave Function
5.1 Introduction
5.2 A causal interpretation for the two-slit experiment
5.3 Experiments to test the nature of the wave function
5.4 Experiments on the collapse of the wave function
5.4.1 Generator of theta waves
5.4.2 Direct detection of the theta waves
5.4.3 Detection with coherent sources
5.4.4 Detection with incoherent sources
5.4.4.1 Experiment with correction for synchronization
5.4.4.2 Mandel's experiment
5.5 Experiments based on the complex interaction process of the causal quantum particles
5.5.1 Experimental test of the tired light model of de Broglie for the photon and its implications o
5.6 References
6 Interference Without Superposition of the Wave Packets
6.1 Introduction
6.2 Interferometric experiments without overlapping of the wavepackets
6.3 Orthodox interpretation
6.4 Causal explanation
6.5 Experimental test for the two approaches
6.6 Franson type experiments
6.7 References
Author Index
Subject Index
a quantum algorithm to solve nonlinear differential equations
towards properties on demand in quantum materials
nonlinear quantum mechanics
quantum nonlinear optics
nonlinear quantum optics
