计算物理学（第2版）

图书标准信息

• 作者 [荷]蒂森 著
• 出版社 世界图书出版公司
• 出版时间 2011-04
• 版次 2
• ISBN 9787510032905
• 定价 89.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 620页
• 正文语种 英语

【内容简介】

《计算物理学（第2版）》是一部理论物理研究的计算方法的教程。这是第二版，在第一版的基础上做了大量的更新，内容更加全面。新增加的部分包括，有限元方法，格点boltzmann模拟，密度函数理论，量子分子动力学，montecarlo模拟和一维量子系统的对角化。书中囊括了了物理研究的很多不同方面和不同计算方法论。如montecarlo方法和分子模拟动力学以及各种电子结构方法论，偏微分方程解方法，格点规范理论。全书都在强调不同物理场中的方法之间的关系，内容较为简洁明快，具有基本编程，数值分析，场论以及凝聚态理论和统计物理的本科知识背景就可以完全读懂《计算物理学（第2版）》。不管是理论物理，计算物理还是实验物理专业的研究生还是科研人员，《计算物理学（第2版）》都相当有参考价值。目次：导论；具有球对称势的量子散射；schrdinger方程的变分大法；hartree-fock方法；密度函数理论；周期性固态schr.dinger方程解法；经典平衡态统计力学；分子动力学模拟；量子分子动力学；montecarlo方法；变换矩阵和自旋链的对角化；量子montecarlo方法，偏微分方程的有限元方法，流体力学的latticeboltzmann方法，格点场论的计算方法；高效能计算和并行法；附：数值法；随机数发生器。
读者对象：物理专业，包括理论物理，计算物理，实验物理的高年级本科生，研究生和相关的科研人员。

【目录】

prefacetothefirstedition
prefacetothesecondedition
1introduction
1.1physicsandcomputationalphysics
1.2classicalmechanicsandstatisticalmechanics
1.3stochasticsimulations
1.4electrodynamicsandhydrodynamics
1.5quantummechanics
1.6relationsbetweenquantummechanicsandclassicalstatisticalphysics
1.7quantummoleculardynamics
1.8quantumfieldtheory
1.9aboutthisbook
exercises
references
2quantumscatteringwithasphericallysymmetric
potential
2.1introduction
2.2aprogramforcalculatingcrosssections
2.3calculationofscatteringcrosssections

exercises
references
3thevariationalmethodfortheschr'odingerequation
3.1variationalcalculus
3.2examplesofvariationalcalculations
3.3solutionofthegeneralisedeigenvalueproblem
3.4perturbationtheoryandvariationalcalculus
exercises
references
4thehartree-fockmethod
4.1introduction
4.2thebom-oppenheimerapproximationandtheindependent-particlemethod
4.3theheliumatom
4.4many-electronsystemsandtheslaterdeterminant
4.5self-consistencyandexchange:hartree-focktheory
4.6basisfunctions
4.7thestructureofahartree-fockcomputerprogram
4.8integralsinvolvinggaussianfunctions
4.9applicationsandresults
4.10improvinguponthehartree-fockapproximation
exercises
references
5densityfunctionaltheory
5.1introduction
5.2thelocaldensityapproximation
5.3exchangeandcorrelation:acloserlook
5.4beyonddft:one-andtwo-particleexcitations
5.5adensityfunctionalprogramfortheheliumatom
5.6applicationsandresults
exercises
references
6solvingtheschriodingerequationinperiodicsolids
6.1introduction:definitions
6.2bandstructuresandbloch'stheorem
6.3approximations
6.4bandstructuremethodsandbasisfunctions
6.5augmentedplanewave'methods
6.6thelinearisedapw（lapw）method
6.7thepseudopotentialmethod
6.8extractinginformationfrombandstructures
6.9someadditionalremarks
6.10otherbandmethods
exercises
references
7classicalequilibriumstatisticalmechanics
7.1basictheory
7.2examplesofstatisticalmodels;phasetransitions
7.3phasetransitions
7.4determinationofaveragesinsimulations
exercises
references
moleculardynamicssimulations
8.1introduction
8.2moleculardynamicsatconstantenergy
8.3amoleculardynamicssimulationprogramforargon
8.4integrationmethods:symplecticintegrators
8.5moleculardynamicsmethodsfordifferentensembles
8.6molecularsystems
8.7long-rangeinteractions
8.8langevindynamicssimulation
8.9dynamicalquantities:nonequilibriummoleculardynamics
exercises
references
9quantummoleculardynamics
9.1introduction
9.2themoleculardynamicsmethod
9.3anexample:quantummoleculardynamicsforthehydrogenmolecule
9.4orthonormalisation;conjugategradientandrm-diistechniques
9.5implementationofthecar-parrinellotechniqueforpseudopotentialdft
exercises
references
10themontecarlomethod
10.1introduction
10.2montecarlointegration
10.3importancesamplingthroughmarkovchains
10.4otherensembles
10.5estimationoffreeenergyandchemicalpotential
10.6furtherapplicationsandmontecarlomethods
10.7thetemperatureofafinitesystem
exercises
references
11transfermatrixanddiagonalisationofspinchains
11.1introduction
11.2theone-dimensionalisingmodelandthetransfermatrix
11.3two-dimensionalspinmodels
11.4morecomplicatedmodels
11.5'exact'diagonalisationofquantumchains
11.6quantumrenormalisationinrealspace
11.7thedensitymatrixrenormalisationgroupmethod
exercises
references
12quantummontecarlomethods
12.1introduction
12.2thevariationalmontecarlomethod
12.3diffusionmontecarlo
12.4path-integralmontecarlo
12.5quantummontecarloonalattice
12.6themontecarlotransfermatrixmethod
exercises
references
13thefiniteelementmethodforpartialdifferentialequations
13.1introduction
13.2thepoissonequation
13.3linearelasticity
13.4errorestimators
13.5localrefinement
13.6dynamicalfiniteelementmethod
13.7concurrentcouplingoflengthscales:femandmd
exercises
references
14thelatticeboltzmannmethodforfluiddynamics
14.1introduction
14.2derivationofthenavier-stokesequations
14.3thelatticeboltzmannmodel
14.4additionalremarks
14.5derivationofthenavier-stokesequationfromthe
latticeboltzmannmodel
exercises
references
15computationalmethodsforlatticefieldtheories
15.1introduction
15.2quantumfieldtheory
15.3interactingfieldsandrenormalisation
15.4algorithmsforlatticefieldtheories
15.5reducingcriticalslowingdown
15.6comparisonofalgorithmsforscalarfieldtheory
15.7gaugefieldtheories
exercises
references
16highperformancecomputingandparallelism
16.1introduction
16.2pipelining
16.3parallelism
16.4parallelalgorithmsformoleculardynamics
references
appendixanumericalmethods
a1aboutnumericalmethods
a2iterativeproceduresforspecialfunctions
a3findingtherootofafunction
a4findingtheoptimumofafunction
a5discretisation
a6numericalquadratures
a7differentialequations
a8linearalgebraproblems
a9thefastfouriertransform
exercises
references
appendixbrandomnumbergenerators
b1randomnumbersandpseudo-randomnumbers
b2randomnumbergeneratorsandpropertiesofpseudo-randomnumbers
b3nonuniformrandomnumbergenerators
exercises
references
index