000 05983fam a2200313 a 4500
001 1521836
003 BD-DhUL
005 20140916095148.0
008 940707s1994 nyua b 001 0 eng
010 _a 94026837
020 _a0306447908
035 _a(OCoLC)30811075
035 _a(OCoLC)ocm30811075
035 _a(NNC)1521836
040 _aDLC
_cBD-DhUL
_dBD-DhUL
_dOrLoB-B
050 0 0 _aQC174.12
_b.S52 1994
082 0 0 _a530.12
_220
_bSHP
100 1 _aShankar, Ramamurti.
245 1 0 _aPrinciples of quantum mechanics /
_cR. Shankar.
250 _a2nd ed.
260 _aNew York :
_bPlenum Press,
_cc1994.
300 _axviii, 676 p. :
_bill. ;
_c27 cm.
504 _aIncludes bibliographical references and index.
505 0 0 _g1.
_tMathematical Introduction --
_g1.1.
_tLinear Vector Spaces: Basics --
_g1.2.
_tInner Product Spaces --
_g1.3.
_tDual Spaces and the Dirac Notation --
_g1.4.
_tSubspaces --
_g1.5.
_tLinear Operators --
_g1.6.
_tMatrix Elements of Linear Operators --
_g1.7.
_tActive and Passive Transformations --
_g1.8.
_tThe Eigenvalue Problem --
_g1.9.
_tFunctions of Operators and Related Concepts --
_g1.10.
_tGeneralization to Infinite Dimensions --
_g2.
_tReview of Classical Mechanics --
_g2.1.
_tThe Principle of Least Action and Lagrangian Mechanics --
_g2.2.
_tThe Electromagnetic Lagrangian --
_g2.3.
_tThe Two-Body Problem --
_g2.4.
_tHow Smart Is a Particle? --
_g2.5.
_tThe Hamiltonian Formalism --
_g2.6.
_tThe Electromagnetic Force in the Hamiltonian Scheme --
_g2.7.
_tCyclic Coordinates, Poisson Brackets, and Canonical Transformations --
_g2.8.
_tSymmetries and Their Consequences --
_g3.
_tAll Is Not Well with Classical Mechanics --
_g3.1.
_tParticles and Waves in Classical Physics --
_g3.2.
_tAn Experiment with Waves and Particles (Classical) --
_g3.3.
_tThe Double-Slit Experiment with Light --
_g3.4.
_tMatter Waves (de Broglie Waves) --
_g4.
_tThe Postulates - a General Discussion --
_g4.1.
_tThe Postulates --
_g4.2.
_tDiscussion of Postulates I-III --
_g4.3.
_tThe Schrodinger Equation (Dotting Your i's and Crossing your h's) --
_g5.
_tSimple Problems in One Dimension --
_g5.1.
_tThe Free Particle --
_g5.2.
_tThe Particle in a Box --
_g5.3.
_tThe Continuity Equation for Probability --
_g5.4.
_tThe Single-Step Potential: a Problem in Scattering --
_g5.5.
_tThe Double-Slit Experiment --
_g5.6.
_tSome Theorems --
_g6.
_tThe Classical Limit --
_g7.
_tThe Harmonic Oscillator --
_g7.1.
_tWhy Study the Harmonic Oscillator? --
_g7.2.
_tReview of the Classical Oscillator --
_g7.3.
_tQuantization of the Oscillator (Coordinate Basis) --
_g7.4.
_tThe Oscillator in the Energy Basis --
_g7.5.
_tPassage from the Energy Basis to the X Basis --
_g8.
_tThe Path Integral Formulation of Quantum Theory --
_g8.1.
_tThe Path Integral Recipe --
_g8.2.
_tAnalysis of the Recipe --
_g8.3.
_tAn Approximation to U(t) for the Free Particle --
_g8.4.
_tPath Integral Evaluation of the Free-Particle Propagator --
_g8.5.
_tEquivalence to the Schrodinger Equation --
_g8.6.
_tPotentials of the Form V = a + bx + cx[superscript 2] + dx + exx --
_g9.
_tThe Heisenberg Uncertainty Relations --
_g9.2.
_tDerivation of the Uncertainty Relations --
_g9.3.
_tThe Minimum Uncertainty Packet --
_g9.4.
_tApplications of the Uncertainty Principle --
_g9.5.
_tThe Energy-Time Uncertainty Relation --
_g10.
_tSystems with N Degrees of Freedom --
_g10.1.
_tN Particles in One Dimension --
_g10.2.
_tMore Particles in More Dimensions --
_g10.3.
_tIdentical Particles --
_g11.
_tSymmetries and Their Consequences --
_g11.1.
_tOverview --
_g11.2.
_tTranslational Invariance in Quantum Theory --
_g11.3.
_tTime Translational Invariance --
_g11.4.
_tParity Invariance --
_g11.5.
_tTime-Reversal Symmetry --
_g12.
_tRotational Invariance and Angular Momentum --
_g12.1.
_tTranslations in Two Dimensions --
_g12.2.
_tRotations in Two Dimensions --
_g12.3.
_tThe Eigenvalue Problem of L[subscript z] --
_g12.4.
_tAngular Momentum in Three Dimensions --
_g12.5.
_tThe Eigenvalue Problem of L[superscript 2] and L[subscript z] --
_g12.6.
_tSolution of Rotationally Invariant Problems --
_g13.
_tThe Hydrogen Atom --
_g13.1.
_tThe Eigenvalue Problem --
_g13.2.
_tThe Degeneracy of the Hydrogen Spectrum --
_g13.3.
_tNumerical Estimates and Comparison with Experiment --
_g13.4.
_tMultielectron Atoms and the Periodic Table --
_g14.
_tSpin --
_g14.2.
_tWhat is the Nature of Spin? --
_g14.3.
_tKinematics of Spin --
_g14.4.
_tSpin Dynamics --
_g14.5.
_tReturn of Orbital Degrees of Freedom --
_g15.
_tAddition of Angular Momenta --
_g15.1.
_tA Simple Example --
_g15.2.
_tThe General Problem --
_g15.3.
_tIrreducible Tensor Operators --
_g15.4.
_tExplanation of Some "Accidental" Degeneracies --
_g16.
_tVariational and WKB Methods --
_g16.1.
_tThe Variational Method --
_g16.2.
_tThe Wentzel-Kramers-Brillouin Method --
_g17.
_tTime-Independent Perturbation Theory --
_g17.1.
_tThe Formalism --
_g17.2.
_tSome Examples --
_g17.3.
_tDegenerate Perturbation Theory --
_g18.
_tTime-Dependent Perturbation Theory --
_g18.1.
_tThe Problem --
_g18.2.
_tFirst-Order Perturbation Theory --
_g18.3.
_tHigher Orders in Perturbation Theory --
_g18.4.
_tA General Discussion of Electromagnetic Interactions --
_g18.5.
_tInteraction of Atoms with Electromagnetic Radiation --
_g19.
_tScattering Theory --
_g19.2.
_tRecapitulation of One-Dimensional Scattering and Overview --
_g19.3.
_tThe Born Approximation (Time-Dependent Description) --
_g19.4.
_tBorn Again (The Time-Independent Approximation) --
_g19.5.
_tThe Partial Wave Expansion --
_g19.6.
_tTwo-Particle Scattering --
_g20.
_tThe Dirac Equation --
_g20.1.
_tThe Free-Particle Dirac Equation --
_g20.2.
_tElectromagnetic Interaction of the Dirac Particle --
_g20.3.
_tMore on Relativistic Quantum Mechanics --
_g21.
_tPath Integrals - II --
_g21.1.
_tDerivation of the Path Integral --
_g21.2.
_tImaginary Time Formalism --
_g21.3.
_tSpin and Fermion Path Integrals.
_g21.4.
_tSummary --
_tApp. A.1. Matrix Inversion --
_tApp. A.2. Gaussian Integrals --
_tApp. A.3. Complex Numbers --
_tApp. A.4. The i[epsilon] Prescription.
650 0 _aQuantum theory.
900 _aAUTH
_bTOC
942 _2ddc
_cBK
948 2 _a20070731
_ba
_crad1
_dMPS
999 _c10742
_d10742