000			05763nam a22005297a 4500
001			sulb-eb0023253
003			BD-SySUS
005			20160413122341.0
007			cr nn 008mamaa
008			130716s2013 gw | s |||| 0|eng d
020			_a9783319004013 _9978-3-319-00401-3
024	7		_a10.1007/978-3-319-00401-3 _2doi
050		4	_aQC1-999
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.1 _223
100	1		_aScherer, Philipp O.J. _eauthor.
245	1	0	_aComputational Physics _h[electronic resource] : _bSimulation of Classical and Quantum Systems / _cby Philipp O.J. Scherer.
250			_a2nd ed. 2013.
264		1	_aHeidelberg : _bSpringer International Publishing : _bImprint: Springer, _c2013.
300			_aXVIII, 454 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Physics, _x1868-4513
505	0		_aPart I Numerical Methods -- Error Analysis -- Interpolation -- Numerical Differentiation -- Numerical Integration -- Systems of Inhomogeneous Linear Equations -- Roots and Extremal Points -- Fourier Transformation -- Random Numbers and Monte-Carlo 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.
520			_aThis textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented 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 pseudo-spectral 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".
650		0	_aPhysics.
650		0	_aChemistry, Physical and theoretical.
650		0	_aMathematical physics.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650	1	4	_aPhysics.
650	2	4	_aNumerical and Computational Physics.
650	2	4	_aMathematical Applications in the Physical Sciences.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aTheoretical and Computational Chemistry.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319004006
830		0	_aGraduate Texts in Physics, _x1868-4513
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-00401-3
912			_aZDB-2-PHA
942			_2Dewey Decimal Classification _ceBooks
999			_c45345 _d45345