Density Matrix Theories in Quantum Physics
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In Density Matrix Theories in Quantum Physics, the author explores new possibilities for the main quantities in quantum physics – the statistical operator and the density matrix. The starting point in this exploration is the Lindblad equation for the statistical operator, where the main element of influence on a system by its environment is the dissipative operator. Bondarev has developed the theory of the harmonic oscillator, in which he finds the density matrix and proves the Heisenberg relation. Bondarev has written the dissipative diffusion and attenuation operators and proven the equivalence of the Wigner and Fokker–Planck equations using them. He further develops theories of the light-emitting diode and ball lightning. Bondarev also derives equations for the density matrix of a single particle and a system of identical particles. These equations have a remarkable property: when the density matrix has a diagonal shape they turn into a quantum kinetic equation for probability. Additional chapters in the book present new theories of experimentally discovered phenomena, such as the step kinetics of bimolecular reactions in solids, superconductivity, superfluidity, the energy spectrum of an arbitrary atom, lasers, spasers, and graphene.Density Matrix Theories in Quantum Physics is an informative reference for theoretical physicists interested in new theories on the subject of complex physical phenomena, quantum theory and density matrices. Cover Title Copyright End User License Agreement Contents Preface Introduction Chapter 1. New Theory of Step Kinetics 1. Step Kinetics of Reactions in Solids Correlation Theory 1.1. Introduction 1.2. Kinetic Theory of Solid-phase Reactions 1.3. Uniform Distribution of Particles in the Matrix 1.4. Conclusion 2. Influence of Hydrogen Atom Tunnel Junction on the "Step" Kinetics of Solid-phase Reactions with Participation of Radicals in Organic Substances 2.1. Introduction 2.2. Tunnel Junction 2.3. Experimental Data Processing 2.4. Conclusion 3. Death Kinetics of Stabilized Electrons in Polyethylene 3.1. Introduction 3.2. Study of Loss of Electrons 3.3. Explanation Experiment Theory 3.4. Conclusion Chapter 2. Density Matrix 2.1. Equation for Density Matrix Derivation of Quantum Markov Kinetic Equation from the Liouville − Von Neumann Equation Chapter 3. New Theory of Superconduct 3.1. History of Superconductivity 3.2. Density Matrix Method Variational Principle for Equilibrium Fermions System 3.3. Energy of Electrons in Crystal Lattice 3.4. Anisotropy and Superconductivity 3.5. Superconductivity Disappears 3.6. Superconductivity Type-II 3.7. Magnetic Field in Superconductor Chapter 4. New Theory of Superfluidity 4.1. New Theory of Super-fluidity Equilibrium Density Matrix Method Chapter 5. New Theory of Arbitrary Atom 5.1. Мethod of Density Matrix New Calculation of Energy Level of Electrons in Atom Chapter 6. New Theory of Laser 6.1. Density Matrix Method in Two-level Laser Theory Chapter 7. Dissipative Operator 7.1. Lindblad Equation for Harmonic Oscillator Uncertainty Relation Depending on Temperature 7.2. Statistical Operator in Theory of Quantum Oscillator. Dissipative Operator Damping 7.3. Particle in a Stochastic Environment Dissipative Matrix 7.4. Density Matrix Method in Quantum Theory of Light Emitting Diode (LED) 7.5. Theory of Ball Lightning 7.6. Theory of Tunnel Transitions Chapter 8. The Beginning of Theoretical Nanophysics 8.1. Equation for Density Matrix Systems of Identical Particles 8.2. New Quantum Spaser Theory Method of Density Matrix 8.3. QUANTUM THEORY OF GRAPHENE 8.3. Quantum Theory of Graphene Chapter 9. Perspective of Quantum Physics 9.1. The Look into Future of Quantum Physics Author's List of Scientific Articles and Books List of Scientific Books List of Training Books Subject Index ABC DE FGH IKLM NOPQ RS TV W Back Cover
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