000 | 05983fam a2200313 a 4500 | ||
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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 |
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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. |
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300 |
_axviii, 676 p. : _bill. ; _c27 cm. |
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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. |
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