Kerr-Newman Electron as Spinning Soliton (Alexander Burinskii) Elements For the Development of A Darwinian-Like Scheme Leading to Quantum Mechanics (Carlos Baladron) A Geometrical Approach to Dislocation Densities in Semiconductors (K Bakke and F Moraes) The Zero-Point Field and the Emergence of the Quantum (L De La Pena, A M Cetto and A Valdes Hernandez) Emergence of Quantum Mechanics From Sub-Quantum Statistical Mechanics (Gerhard Grossing) Towards Wave Resolution of Wave-Particle Duality (Andrei Khrennikov) Quantum Transport: An Unified Approach Via A Multivariate Hypergeometric Generating Function (A F Macedo-Junior and A M S Macedo) Time-Dependent Coupled Harmonic Oscillators: Classical and Quantum Solutions (D X Macedo and I Guedes) Event-Based Simulation of Quantum Physics Experiments (Kristel Michielsen and Hans De Raedt) Lectures on Dynamical Models For Quantum Measurements (T M Nieuwenhuizen, M Perarnau Llobet and R Balian) Physics of Quantum Computing (Elisabetta Paladino and Giuseppe Falci) Reality, Causality, and Probability, From Quantum Mechanics to Quantum Field Theory: Lectures on the Epistemology of Quantum Theory (Arkady Plotnitsky) Quantum Information in Communication and Imaging (David Simon, Gregg Jaeger and Alexander V Sergienko) Green's Function Technics in the Solid State (Vaclav Spicka)
Kerr-Newman Electron as Spinning Soliton (Alexander Burinskii) Elements For the Development of A Darwinian-Like Scheme Leading to Quantum Mechanics (Carlos Baladron) A Geometrical Approach to Dislocation Densities in Semiconductors (K Bakke and F Moraes) The Zero-Point Field and the Emergence of the Quantum (L De La Pena, A M Cetto and A Valdes Hernandez) Emergence of Quantum Mechanics From Sub-Quantum Statistical Mechanics (Gerhard Grossing) Towards Wave Resolution of Wave-Particle Duality (Andrei Khrennikov) Quantum Transport: An Unified Approach Via A Multivariate Hypergeometric Generating Function (A F Macedo-Junior and A M S Macedo) Time-Dependent Coupled Harmonic Oscillators: Classical and Quantum Solutions (D X Macedo and I Guedes) Event-Based Simulation of Quantum Physics Experiments (Kristel Michielsen and Hans De Raedt) Lectures on Dynamical Models For Quantum Measurements (T M Nieuwenhuizen, M Perarnau Llobet and R Balian) Physics of Quantum Computing (Elisabetta Paladino and Giuseppe Falci) Reality, Causality, and Probability, From Quantum Mechanics to Quantum Field Theory: Lectures on the Epistemology of Quantum Theory (Arkady Plotnitsky) Quantum Information in Communication and Imaging (David Simon, Gregg Jaeger and Alexander V Sergienko) Green's Function Technics in the Solid State (Vaclav Spicka)
Introduction: The Mathematical Basis for Deterministic Quantum Mechanics (G 't Hooft) What Did We Learn from Quantum Gravity? (A Ashtekar) Bose-Einstein Condensates and EPR Quantum Non-Locality (F Laloe) The Quantum Measurement Process: Lessons from an Exactly Solvable Model (A E Allahverdyan et al.) Quantum Mechanics and Quantum Information: POVMs: A Small but Important Step Beyond Standard Quantum Mechanics (W M de Muynck) State Reduction by Measurements with a Null Result (G Nienhuis) Solving Open Questions in the Bose-Einstein Condensation of an Ideal Gas via a Hybrid Mixture of Laser and Statistical Physics (M Kim et al.) Long Distance Correlations and Bell Inequalities: Fair Sampling vs No-Signalling Principle in EPR Experiments (G Adenier & A Yu Khrennikov) Mathematical Foundations: Where the Mathematical Structure of Quantum Mechanics Comes From (G M D'Ariano) Phase Space Description of Quantum Mechanics and Non-Commutative Geometry: Wigner-Moyal and Bohm in a Wider Context (B J Hiley) Quantum Mechanics as Simple Algorithm for Approximation of Classical Integrals (A Yu Khrennikov) Stochastic Electrodynamics: Some Quantum Experiments from the Point of View of Stochastic Electrodynamics (V epi ka et al.) Models for the Electron: Rotating Hopf-Kinks: Oscillators in the Sense of de Broglie (U Enz) The Electron and the Neutrino as Solitos in Classical Electromagnetism (Th M Nieuwenhuizen) Philosophical Considerations Round Table and other papers.
This book covers the entire span of quantum mechanics whose developments have taken place during the early part of the twentieth century up till the present day. We start with the Rutherford-Bohr model of the atom followed by Schrodinger's wave mechanics with its application to the solution of calculating the energy spectrum of a particle in a box, the harmonic oscillator and finally the hydrogen atom. Heisenberg's matrix mechanics and its duality with Schrodinger's wave mechanics, quantum mechanics in the interaction picture. Dirac's relativistic theory of the electron exhibiting the spin of the electron as a relativistic effect when it interacts with an external electromagnetic field. Feynman's path integral approach to non-relativistic quantum mechanics with is a marvellous intuitive interpretation as a sum over paths and how classical mechanics is obtained from its limit as Planck' constant tends to zero, methods for computing the spectra of the Dirac Hamiltonian in a radial potential, quantum field theory as developed by Feynman, Schwinger, Tomonaga and Dyson for describing the interaction between electrons, positrons, and photons via propagators using both the operator theoretic expansions and Feynman's path integral. We also introduce time independent and time dependent perturbation theory in quantum mechanics with applications to quantum gate design for quantum computers forming a major part of the research conducted by the author's research group, Quantum noise introduced into the Schrodinger and Dirac's equation based on the Hudson-Parthasarathy quantum stochastic calculus in Boson Fock space, scattering theory and wave operators with applications to quantum gate design, some aspects of second quantization like the interpretation of Boson Fock space in terms of harmonic oscillator algebras and the BCS theory of superconductivity, Wigner-Mackey-Frobenius theory of induced representations of a group with applications to Wigner's theory of particle classification, Dirac's equation in a gravitational field and Yang-Mills non-Abelian gauge theories with application to the construction of unified quantum field theories and finally, the more recent theory of super-symmetry which is a Boson-Fermion unification theory. We have discussed the statistics of Boson's, Fermions and Maxwell-Boltzmann based on entropy maximization. The book is written in problem-solution format and it would be of use to physicists and engineers interested respectively in developing unified field theories and in the design of quantum gates. Note: T&F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
This section contains the author’s reminiscences of meetings in Va¨xjo¨, philosophical and historical remarks on views of Hertz, Boltzmann, Planck, Einstein, Bohr, Schro¨dinger, Fock, von Neumann, de Broglie, Kolmogorov, von Mises, Lamb and Scully, Lande, Bohm and Hiley, Mackey, Marshall and Brafford, Klyshko, Vorob’jev, Boyer, de la Pena and Cetto, Emch, Cole, Ballentine, Mermin, Gudder, Lahti, Ozawa, Vidman, Peres, Ohya, Accardi, Gill, Larsson, Fuchs, Plotnitsky, Zeilinger, Genovese, Jaeger, Hardy, Zurek, D’ Ariano, Aspect, Rauch, Weihs, Volovich, Belavkin, Ozawa, De Muynck, De Baere, Elitzur, Peres, Nieuwenhuizen, Greenberger, Migdal, Polyakov, Hess and Philipp, ‘t Hooft, Adenier, De Raedt, . . . This section may be of interest to some readers as it contains details of history of quantum foundations; or the reader can jump directly to Section 1.2, which contains a short introduction to my “beyond quantum model”— prequantum classical statistical field theory (PCSFT).
The universe we live in is both strange and interesting. This strangeness comes about because, at the most fundamental level, the universe is governed by the laws of quantum mechanics. This is the most spectacularly accurate and powerful theory ever devised, one that has given us insights into many aspects of the world, from the structure of matter to the meaning of information. This textbook provides a comprehensive account of all things quantum. It starts by introducing the wavefunction and its interpretation as an ephemeral wave of complex probability, before delving into the mathematical formalism of quantum mechanics and exploring its diverse applications, from atomic physics and scattering, to quantum computing. Designed to be accessible, this volume is suitable for both students and researchers, beginning with the basics before progressing to more advanced topics.
CONTENTS: Preface Merging Quantum Theory Into Classical Physics (Jacques Moret-Bailly, Universite de Bourgogne, France) The Quantum-Classical Interface, Bohmian Theory and Quantum Mechanics (Partha Ghose, S.N. Bose National Centre for Basic Sciences, India) Wheeler's World: It From Bit? (Jack Sarfatti, Internet Science Education Project) On the Origin of Conceptual Difficulties of Quantum Mechanics (Volodymyr Krasnoholovets, National Academy of Sciences, Ukraine) Quantum Time Ordering and Degeneracy (J. H. McGuire, Kh. Kh. Shakov and A. Chalastaras, Tulane University A. L. Godunov, Old Dominion University Kh. Yu. Rakhimov, Uzbekistan Academy of Sciences) The Maxwell Equations with Gradient-Type Sources, Their Applications and Quantisation (V. M. Simulik and I. Yu. Krivsky, Ukranian National Academy of Sciences) Quantum Physics of the Cold Fusion Phenomenon (H. Kozima, Portland State University) Neutrino Mixing (Carlo Giunti, Universita di Torino, Italy Marco Laveder, Universita di Padova, Italy) Quantitative Determination of the Effect of the Harmonic Component in Monochromatised Synchrotron X-Ray Beam Experiments (C. Q. Tran, M. de Jonge, Z. Barnea, B. B. Dhal, C. T. Chantler, University of Melbourne, Australia) Orbital Angular Momentum of Photoelectrons Excited by Circularly-Polarized Light --- Rotation of Forward Scattering Peaks in Photoelectron Diffraction Pattern (Hiroshi Daimon, Nara Institute of Science and Technology (NAIST), Japan) Index.
1. Quantum Mechanics, Reality and Separability: Physical Developments of the Einstein-Podolsky-Rosen Argument.- Realism in Quantum Mechanics and a New Version of the EPR Experiment.- Discussion: M. Cini, F. De Martini, K. Kraus, T.W. Marshall, K.R. Popper, H. Rauch, M.C. Robinson, F. Selleri, J. Six, G. Tarozzi, J.-P. Vigier..- The Physical Origin of the Einstein-Podolsky-Rosen Paradox.- Does the Bell Inequality Hold for All Local Theories?.- Is it Possible to Save Causality and Locality in Quantum Mechanics?.- Einstein-Podolsky-Rosen Experiments and Macroscopic Locality.- On the Compatibility of Local Realism with Atomic Cascade Experiments.- Is the Einstein-Podolsky-Rosen Paradox Demanded by Quantum Mechanics?.- Infinite Wave Resolution of the EPR Paradox.- On Non Local Influences.- Einstein Locality for Individual Systems and for Statistical Ensembles.- Can Nondetected Photons Simulate Nonlocal Effects in Two-Photon Polarization Correlation Experiments?.- 2. The Stochastic Interpretation of Quantum Processes.- Quantum Theory of Measurement without Wave Packet Collapse.- A Causal Fluidodynamical Model for the Relativistic Quantum Mechanics.- On the Nonlinear Schrodinger Equation.- Recent Developments in de Broglie Nonlinear Wave Mechanics.- The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem.- When is Statistical Theory Causal?.- Radiation Damping and Nonlinearity in the Pilot Wave Interpretation of Quantum Mechanics.- Stochastic Electrodynamics and the Bell Inequalities.- Nonlocal Quantum-Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems.- 3. The Realistic Interpretation of the Wave Function: Experimental Tests on the Wave-Particle Dualism.- Third Kind Measurements and Wave-Particle Dualism.- Quantum Effects in the Interference of Light.- Tests of Quantum Mechanics by Neutron Interferometry.- A Unified Experiment for Testing both the Interpretation and the Reduction Postulate of the Quantum Mechanical Wave Function.- Epilogue.- Evolutionary Epistemology.