The Resource Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
 Summary
 This textbook presents basic and advanced computational physics in a very didactic style. It contains verywellpresented and simple mathematical descriptions of many of the most important algorithms used in computational physics. Many clear mathematical descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study the properties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space. Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantum systems is performed, containing pseudospectral methods, finite differences methods, rational approximation to the time evolution operator, second order differencing and split operator methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into the numerical treatment but also the simulated problems. Rotational motion is treated in much detail to describe the motion of rigid rotors which can be just a simple spinning top or a collection of molecules or planets. The behaviour of simple quantum systems is studied thoroughly. One focus is on a two level system in an external field. Solution of the Bloch equations allows the simulation of a quantum bit and to understand elementary principles from quantum optics. As an example of a thermodynamic system, the Lennard Jones liquid is simulated. The principles of molecular dynamics are shown with practical simulations. A second thermodynamic topic is the Ising model in one and two dimensions. The solution of the Poisson Boltzman equation is discussed in detail which is very important in Biophysics as well as in semiconductor physics. Besides the standard finite element methods, also modern boundary element methods are discussed. Waves and diffusion processes are simulated. Different methods are compared with regard to their stability and efficiency. Random walk models are studied with application to basic polymer physics. Nonlinear systems are discussed in detail with application to population dynamics and reaction diffusion systems. The exercises to the book are realized as computer experiments. A large number of Java applets is provided. It can be tried out by the reader even without programming skills. The interested reader can modify the programs with the help of the freely available and platform independent programming environment "netbeans"
 Language
 eng
 Edition
 2nd ed. 2013.
 Extent
 XVIII, 454 p. 197 illus., 13 illus. in color.
 Contents

 Part I Numerical Methods
 Error Analysis
 Interpolation
 Numerical Differentiation
 Numerical Integration
 Systems of Inhomogeneous Linear Equations
 Roots and Extremal Points
 Fourier Transformation
 Random Numbers and MonteCarlo Methods
 Eigenvalue Problems
 Data Fitting
 Discretization of Differential Equations
 Equations of Motion
 Part II Simulation of Classical and Quantum Systems
 Rotational Motion
 Molecular Dynamics
 Thermodynamic Systems
 Random Walk and Brownian Motion
 Electrostatics
 Waves
 Diffusion
 Nonlinear Systems
 Simple Quantum Systems
 Isbn
 9783319004013
 Label
 Computational Physics : Simulation of Classical and Quantum Systems
 Title
 Computational Physics
 Title remainder
 Simulation of Classical and Quantum Systems
 Statement of responsibility
 by Philipp O.J. Scherer
 Language
 eng
 Summary
 This textbook presents basic and advanced computational physics in a very didactic style. It contains verywellpresented and simple mathematical descriptions of many of the most important algorithms used in computational physics. Many clear mathematical descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study the properties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space. Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantum systems is performed, containing pseudospectral methods, finite differences methods, rational approximation to the time evolution operator, second order differencing and split operator methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into the numerical treatment but also the simulated problems. Rotational motion is treated in much detail to describe the motion of rigid rotors which can be just a simple spinning top or a collection of molecules or planets. The behaviour of simple quantum systems is studied thoroughly. One focus is on a two level system in an external field. Solution of the Bloch equations allows the simulation of a quantum bit and to understand elementary principles from quantum optics. As an example of a thermodynamic system, the Lennard Jones liquid is simulated. The principles of molecular dynamics are shown with practical simulations. A second thermodynamic topic is the Ising model in one and two dimensions. The solution of the Poisson Boltzman equation is discussed in detail which is very important in Biophysics as well as in semiconductor physics. Besides the standard finite element methods, also modern boundary element methods are discussed. Waves and diffusion processes are simulated. Different methods are compared with regard to their stability and efficiency. Random walk models are studied with application to basic polymer physics. Nonlinear systems are discussed in detail with application to population dynamics and reaction diffusion systems. The exercises to the book are realized as computer experiments. A large number of Java applets is provided. It can be tried out by the reader even without programming skills. The interested reader can modify the programs with the help of the freely available and platform independent programming environment "netbeans"
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Graduate Texts in Physics,
 Label
 Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Part I Numerical Methods  Error Analysis  Interpolation  Numerical Differentiation  Numerical Integration  Systems of Inhomogeneous Linear Equations  Roots and Extremal Points  Fourier Transformation  Random Numbers and MonteCarlo Methods  Eigenvalue Problems  Data Fitting  Discretization of Differential Equations  Equations of Motion  Part II Simulation of Classical and Quantum Systems  Rotational Motion  Molecular Dynamics  Thermodynamic Systems  Random Walk and Brownian Motion  Electrostatics  Waves  Diffusion  Nonlinear Systems  Simple Quantum Systems
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319004013&userID=ebscotest&password=ebscotest
 Dimensions
 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3405580'}
 Edition
 2nd ed. 2013.
 Extent
 XVIII, 454 p. 197 illus., 13 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319004013
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/ComputationalPhysicsSimulationofClassical/fOWB_oXJyIE/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/ComputationalPhysicsSimulationofClassical/fOWB_oXJyIE/">Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/ComputationalPhysicsSimulationofClassical/fOWB_oXJyIE/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/ComputationalPhysicsSimulationofClassical/fOWB_oXJyIE/">Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>