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Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamical Systems
1st Edition - October 5, 2013
Author: Alexandru Popa
Language: English
Paperback ISBN:9780124095021
9 7 8 - 0 - 1 2 - 4 0 9 5 0 2 - 1
eBook ISBN:9780124104686
9 7 8 - 0 - 1 2 - 4 1 0 4 6 8 - 6
Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantu…Read more
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Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and applied scientists interested in accurate atomic and molecular models. This is a reference to those working in the new field of relativistic optics, in topics related to relativistic interactions between very intense laser beams and particles, and is based on 30 years of research. The novelty of this work consists of accurate connections between the properties of quantum equations and corresponding classical equations used to calculate the energetic values and the symmetry properties of atomic, molecular and electrodynamical systems, as well as offering applications using methods for calculating the symmetry properties and the energetic values of systems and the calculation of properties of high harmonics in interactions between very intense electromagnetic fields and electrons.
Features detailed explanations of the theories of atomic and molecular systems, as well as wave properties of stationary atomic and molecular systems
Provides periodic solutions of classical equations, semi-classical methods, and theories of systems composed of very intense electromagnetic fields and particles
Offers models and methods based on 30 years of research
Physics researchers and scientists in molecular, atomic, optics, electromagnetics, and particle physics, and graduate students
Introduction
Chapter 1. Connection Between Schrődinger and Hamilton–Jacobi Equations in the Case of Stationary Atomic and Molecular Systems
Abstract
1.1 Initial Hypotheses
1.2 Schödinger Equation, Wave Equation, and Characteristic Equation
1.3 Equation of the Wave Surfaces
1.4 Periodic Motion of the Wave Surfaces
1.5 Generalized Bohr Quantization Relation for the C Curves
1.6 The Stationarity Condition and the de Broglie Relations for Multidimensional Systems
1.7 Properties of the Central Field Semiclassical Method
Chapter 2. Connection Between Klein–Gordon and Relativistic Hamilton–Jacobi Equations for Systems Composed of Electromagnetic Fields and Particles
Abstract
2.1 Initial Hypotheses
2.2 Connection Between the Klein–Gordon and Relativistic Hamilton–Jacobi Equations
2.3 Demonstration of the Relation (2.9)
2.4 Periodicity Property of the System Electron–Electromagnetic Field
2.5 The Head-on Interaction Between Very Intense Elliptically Polarized Laser Beams and Relativistic Electron Beams, as a Source of Generation of Very Energetic Radiations
2.6 Polarization Effects in the Interaction, at Arbitrary Angle, Between Very Intense Laser Beams and Relativistic Electron Beams
2.7 Classical Approach of Interactions Between Very Intense Laser Beams and Atoms
2.8 Common Properties of the Systems Analyzed in Chapters 1 and 2
Appendix A. Proof of Equation (1.37)
Appendix B. Relations for the Elliptic Motion. Equation of the Wave Surfaces for Hydrogenoid Systems
B.1 The First Domain, When r Increases from and
B.2 The Second Domain, When r Decreases from and
Bibliography
No. of pages: 80
Language: English
Edition: 1
Published: October 5, 2013
Imprint: Academic Press
Paperback ISBN: 9780124095021
eBook ISBN: 9780124104686
AP
Alexandru Popa
Alexandru Popa received the Physicist Engineer degree from the Polytechnic University of Bucharest, Romania in 1966, the M. Sc degree from the University of California, Berkeley in 1972 and the Ph. D degree from the Polytechnic University of Bucharest, Romania in 1974. He is currently a Senior Researcher at the Laser Department, National Institute for Laser, Plasma and Radiation Physics, Institute of Atomic Physics, Bucharest.
Affiliations and expertise
National Institute for Laser, Plasma and Radiation Physics, Bucharest, Romania
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