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全新正版ntum Mechanics9787030333599科学出版社
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PrefaceⅠ.Brief review of historical development1.Black boay radfatlon2.Photoelectric effect3.Specific heat of solids4.Compton effectProblemsⅡ.Uncertainyndcmplementarily1.Einstein relations and Bohr complimenriy rinciple2.Wave-particle aty and quantum behavior3.De Broglie relation and Heisenberg uncertainty relation4.Further remarks on the uncertainty principleProblemsⅢ.The Schr6dinger wave equation1.Postulates of quantum mechanics2.The SchrOdinger equation for free particles3.Probability distributions4.Operators and expectation values5.Motion of a free wave packet6.Schr6dinger equation for a particle in external fields7 Schr6dinger equation for a system+of interacting particlesProblemsⅣ.Heisenberg equation of motion and commutators1.Heisenberg equation of motion2.Commutation relationsProblerDsⅤ.Symmetry properties and conservation laws1.Uniformity of time2.Uniformity of space3.Isotropy of space4.Discrete transformation5.Reduction of the two-body problemProblemsⅥ.Eigenfunctions and eigenvalues1.Stationary states2.Spectrum of the Hamiltonlan3.Diracs &function4.Orthonormaliyndcmleess5.Density of states6.Linear vector space7.Simultaneous ienunctions and compatible observables8.Probability amplitudesProblemsⅦ.The classical limit and WKB method1.Ehrenfest theorem2.Classical limit of Schr6dinger equation3.The semi-classical approximation for stationary states4.The quantization rule of Bohr and SommerfieldProblemsⅦ.lllustrative examples in one dimension1.Square well potential2.Seatterirg from the square well-resonances and virtual states3.Periodic potential-Kr0nig:Penne: model4.The 3 functiofl potentidl5.Linear harmonic oscillatorProblemsⅨ.Illustrativeexamples in three dimensional space1.The wave equation in spherical coordinates2.Symmetry properties of the central field problem3.Angular momentum eigenstates4.Free particle motion with a definite5.Isotropic square well6.Hydrogen atom ;7.Degeneracy of hydrogen energy levels8.Electron in magnetic fields--a cylitidfial field problem9.Examples in the confined and low-dimensionM spaceProblemsⅩ.Angular momentum1.Matrix representation of angular momentum operators2.Spin eigenvectors* 3.Coupling of two angular momentum vectors4; Rotation matrices5.Arbitrary rotation of a rigid bodyProblemsⅪ.Unitary transformation1.States and operators2.Unitary operators and unitary transformations3.Observables in different representations* 4.,Schr6dinger, Heisenberg and interaction pictures* 5.The interaction picture6.Pure and,mixed statesProblemsⅫ.Approximation methods1Variation method2.Pert urbationtheory for nonrdegenerate stationary states3.Yalidity of the perturbation method4.Perturbation theory for degenerate states5.Eine structureof hydrogen atomic spectra6.Atoms in externa anetic fieldsProblem,sⅩⅢ.Many-electron systems1.Indistinguishability and Pauli principle2.Symmetrization and anti-symmetrization of wave functions3.Ground state of helium atom4.Excited states of helium atom5.Slater determinant for many-electron atoms6.Hartree-Fock method7.Statistical model of Fermi-ThomasProblemsⅩⅣ.Theory of time-dependent perturbation1.Time-dependent perturbation2.Transition probabilit_y pet: unit time3.Adiabatic and sudden approximation4.Induced emission, absorption and spontaneous emission5.Multipole radiation and selection rules6.Lifetime and width of excited levels7.Photoelectric effect8.Magnetic resonance9.Oscillating strength ProblemsⅩⅤ.Theory of scattering1.General theory of elastic scattering2.Green function for a free particle3.The Born approximation4.Validity criteria for the Born approxirnition5.Method of partial waves6.Eikonal approximation7.Elastic scattering from the Coulomb potential8.Generaltheory of inelastic gcattering--The Eipman-Schwingwer formulation9.Scattering fromcomplex targefsProblemsReferencesIndex
本书是在作者长期的科学研究和多年执教中,吸取美国大学教学特点,结合中国高校教学改革的实际情况编著的。内容适合读者由浅入深的学习,对量子力学的抽象理论,通过理论阐述和具体事例对照,更易于理解和掌握。讲授基本知识的同时,本书也介绍了科学研究的前沿知识,使读者深入了解目前量子力学理论的发展状况。本书适合物理专业生及学习使用,也可做为科研人员参考使用。
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