Computational Physics Simulation of Classical and Quantum Systems /

• Main Author: Scherer, Philipp O.J (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 3rd ed. 2017.
• Series: Graduate Texts in Physics,
• Subjects: Physics.; Chemistry, Physical and theoretical.; Mathematical physics.; Numerical and Computational Physics, Simulation.; Mathematical Applications in the Physical Sciences.; Mathematical and Computational Engineering.; Theoretical and Computational Chemistry.

This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motio...

Table of Contents:

• I. Numerical Methods
• Error Analysis
• Interpolation
• Numerical Differentiation
• Numerical Integration
• Systems of Inhomogeneous Linear Equations
• Roots and Extremal Points
• Fourier Transformation
• Wavelets
• Random Numbers and Monte Carlo Methods
• Eigenvalue Problems
• Data Fitting
• Discretization of Differential Equations
• Equations of Motion
• II. Simulation of Classical and Quantum Systems
• Rotational Motion
• Molecular Mechanics
• Continuum Mechanics
• Thermodynamic Systems
• Random Walk and Brownian Motion
• Electrostatics
• Waves
• Diffusion
• Convection
• Nonlinear Systems
• Simple Quantum Systems
• Quantum Many -Body Systems.