Search Results - "Schrödinger equation"

A Journey Around the Different Scales Involved in the Description of Matter and Complex Systems A Brief Overview with Special Emphasis on Kinetic Theory Approaches / by Chinesta, Francisco, Abisset-Chavanne, Emmanuelle

Table of Contents: “…1 The Schrödinger equation -- 1.1 The history of quantum mechanics in small bits -- 1.2 Planck versus the ultraviolet catastrophe -- 1.3 An intuitive approach to the Schrödinger equation -- 1.4 The Feynman approach -- 1.5 The Schrödinger equation -- 1.6 Relations between position and momentum wavefunctions -- 1.7 Heisenberg uncertainty principle -- 1.8 Observable and its time evolution -- 1.9 The Hellmann-Feynman theorem -- 1.10 The Pauli exclusion principle -- 1.11 On the numerical solution of the Schrödinger equation -- 2 Ab-initio calculations -- 2.1 The Hartree-Fock description -- 2.2 Density Functional Theory -- 2.3 Concluding remarks on the quantum scale -- 3 Coarse-grained descriptions -- 3.1 Molecular dynamics --  3.2 Brownian dynamics --  4 Kinetic theory models. 4.1 Motivation -- 4.2 Kinetic theory description of simple liquids and gases -- 4.3 Complex fluids -- 4.4 The Chemical Master Equation -- References.…”
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Physics of Semiconductor Devices by Rudan, Massimo

Table of Contents: “…Part I A Review of Analytical Mechanics and Electromagnetism -- Analytical Mechanics -- Coordinate Transformations and Invariance Properties -- Applications of the Concepts of Analytical Mechanics -- Electromagnetism -- Applications of the Concepts of Electromagnetism -- Part II Introductory Concepts to Statistical and Quantum Mechanics -- Classical Distribution Function and Transport Equation -- From Classical Mechanics to Quantum Mechanics -- Time-Independent Schrodinger Equation -- Time-Dependent Schrodinger Equation -- General Methods of Quantum Mechanics -- Part III Applications of the Schrodinger Equation -- Elementary Cases -- Cases Related to the Linear Harmonic Oscillator -- Other Examples of the Schrodinger Equation -- Time-Dependent Perturbation Theory -- Part IV Systems of Interacting Particles - Quantum Statistics -- Many-Particle Systems -- Separation of Many-Particle Systems -- Part V Applications to Semiconducting Crystals -- Periodic Structures -- Electrons and Holes in Semiconductors atEquilibrium -- Part VI Transport Phenomena in Semiconductors -- Mathematical Model of Semiconductor Devices -- Generation-Recombination and Mobility -- Part VII Basic Semiconductor Devices -- Bipolar Devices -- MOS Devices -- Part VIII Miscellany -- Thermal Diffusion - Ion Implantation -- Thermal Oxidation - Layer Deposition -- Measuring the Semiconductor Parameters.- .…”
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Molecular Physical Chemistry A Computer-based Approach using Mathematica® and Gaussian / by Teixeira-Dias, José J. C.

Table of Contents: “…Thermodynamics -- Chemical Kinetics -- Schrödinger Equation -- Molecular Symmetry -- Molecular Structure -- Crystals -- Water -- Appendix -- Solutions to the Exercises.…”
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Mathematical Physical Chemistry Practical and Intuitive Methodology / by Hotta, Shu

Table of Contents: “…1. Schrödinger Equation and Its Application -- 2. Quantum-Mechanical Harmonic Oscillator -- 3. …”
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New Advances on Chaotic Intermittency and its Applications by Elaskar, Sergio, del Río, Ezequiel

Table of Contents: “…An example with discontinuous RPD: the derivative nonlinear Schrodinger equation -- Chapter 9: Evaluation of the intermittency statistical properties using the Perron-Frobenius operator.…”
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Analytical Methods in Nonlinear Oscillations Approaches and Applications / by Esmailzadeh, Ebrahim, Younesian, Davood, Askari, Hassan

Table of Contents: “…-Hamiltonian Approach -- Relationship between Hamiltonian and Variational Approaches -- Part II Applications -- Generalized Duffing Equation -- Elastic Force with Rational Characteristic Equation -- Elastic Force with Non-integer Fractional Characteristic Equation -- Higher-Order Hamiltonian Approach to Duffing Equations -- Hamiltonian Approach to Rational and Irrational Oscillator -- Hamiltonian Approach to Nonlinear Oscillator with Discontinuity -- Nonlinear Oscillator with Quintic Nonlinearity -- Nonlinear Schrodinger's Equation -- Thomas-Fermi Equation -- Heat Conduction Equation -- Lane-Edmen Type Equation -- Dynamic Analysis of Centrifugal Governor System -- Duffing Harmonic Equation -- Part III Practice Problems -- Chapter VI: Ingegral Based Methods -- Part I Approaches -- Adomian Decomposition Method -- Variational Iteration Method -- Homotopy Analysis Method -- Part II Applications -- Volterra-Integro Differential Equations -- Nonlinear Schrödinger Equations -- Van der Pol Equation -- Korteweg-de Vries Equation -- Part III Practice Problems -- Chapter VII:Nonlinearities in Nano and Micro Systems -- Duffing Equation in NEMS and MEMS -- Parametric and Self-Excited Oscillations -- Nonlinear Coupled Oscillators -- Other Types of Nonlinearities -- Part III Practice Problems.…”
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