Lectures on quantum mechanics /

• 資料種別: 図書
• ISBN: 1107111668 (hbk.); 9781107111660 (hbk.)
• タイトル: Lectures on quantum mechanics /
• 版: Second edition.
• 出版事項: Cambridge, United Kingdom : : Cambridge University Press,
• 出版年月日等: 2015,
• 数量: xxii, 419 pages ; ; 26 cm.
• 寄与者: Steven Weinberg.
• 本文の言語コード: eng
• NDC10版: 421.3 : 理論物理学
• 対象利用者: 一般
• 一般注記: 1.1. Photons -- Black-body radiation -- Rayleigh[--]Jeans formula -- Planck formula -- Atomic constants -- Photoelectric effect -- Compton scattering -- 1.2. Atomic Spectra -- Discovery of atomic nuclei -- Ritz combination principle -- Bohr quantization condition -- Hydrogen spectrum -- Atomic numbers and weights -- Sommerfeld quantization condition -- Einstein A and B coefficients -- Lasers -- 1.3. Wave Mechanics -- De Broglie waves -- Davisson-Germer experiment -- Schrödinger equation -- 1.4. Matrix Mechanics -- Radiative transition rate -- Harmonic oscillator -- Heisenberg matrix algebra -- Commutation relations -- Equivalence to wave mechanics -- Quantization of radiation -- 1.5. Probabilistic Interpretation -- Scattering -- Probability density and current -- Expectation values -- Equations of motion -- Eigenvalues and eigenfunctions -- Uncertainty principle -- Born rule for transition probabilities -- Historical Bibliography -- Problems -- 2.1. Schrödinger Equation for a Central Potential -- Hamiltonian for central potentials -- Orbital angular momentum operator L -- Spectrum of L2 -- Separation of wave function -- Boundary conditions -- 2.2. Spherical Harmonics -- Spectrum of L3 -- Associated Legendre polynomials -- Construction of spherical harmonics -- Orthonormality -- Parity -- Legendre polynomials -- 2.3. Hydrogen Atom -- Radial Schrodinger equation -- Power series solution -- Laguerre polynomials -- Energy levels -- Selection rules -- 2.4. Two-Body Problem -- Reduced mass -- Relative and center-of-mass coordinates -- Relative and total momenta -- Hydrogen and deuterium spectra -- 2.5. Harmonic Oscillator -- Separation of wave function -- Raising and lowering operators -- Spectrum -- Normalized wave functions -- Radiative transition matrix elements -- Problems -- 3.1. States -- Hilbert space -- Vector spaces -- Norms -- Completeness and independence -- Orthonormalization -- Probabilities -- Rays -- Dirac notation -- 3.2. Continuum States -- From discrete to continuum states -- Normalization -- Delta functions -- Distributions -- 3.3. Observables -- Operators -- Adjoints -- Matrix representation -- Eigenvalues -- Completeness of eigen-vectors -- Schwarz inequality -- Uncertainty principle -- Dyads -- Projection operators -- Density matrix -- Von Neumann entropy -- Disentangled systems -- 3.4. Symmetries -- Unitary operators -- Wigner's theorem -- Antiunitary operators -- Continuous symmetries -- Commutators -- 3.5. Space Translation -- Momentum operators -- Commutation rules -- Momentum eigenstates -- Bloch waves -- Band structure -- 3.6. Time Translation and Inversion -- Hamiltonians -- Time-dependent Schrödinger equation -- Conservation laws -- Time reversal -- Galilean invariance -- Boost generator -- Time-dependence of density matrix -- 3.7. Interpretations of Quantum Mechanics -- Copenhagen interpretation -- Measurement vs. unitary evolution of the density matrix -- Correlation of system and measuring apparatus -- Classical states -- Decoherence -- Stern[--]Gerlach experiment -- Schrödinger's cat -- Where does the Born rule come from-- Instrumentalist interpretations -- Decoherent histories -- Realist interpretations -- Many worlds-- Approach to the Born rule -- Conclusion -- Problems -- 4.1. Rotations -- Finite rotations -- Rotation groups O(3) and SO(3) -- Action on physical states -- Infinitesimal rotations -- Commutation relations -- Total angular momentum -- Spin -- 4.2. Angular-Momentum Multiplets -- Raising and lowering operators -- Spectrum of J2 and J3 -- Spin matrices -- Pauli matrices -- J3-independence -- Stern[--]Gerlach experiment -- 4.3. Addition of Angular Momenta -- Choice of basis -- Clebsch[--]Gordan coefficients -- Sum rules for coefficients -- Hydrogen states -- Symmetries of coefficients -- Addition theorem for spherical harmonics -- 3 j symbols -- More sum rules -- SU(2) formalism -- 4.4. Wigner[--]Eckart Theorem -- Operator transformation properties -- Theorem for matrix elements -- Parallel matrix elements -- Photon emission selection rules -- 4.5. Bosons and Fermions -- Symmetrical and antisymmetrical states -- Connection with spin -- Hartree approximation -- Pauli exclusion principle -- Periodic table for atoms -- Magic numbers for nuclei -- Temperature and chemical potential -- Statistics -- Insulators, conductors, semi-conductors -- 4.6. Internal Symmetries -- Charge symmetry -- Isotopic spin symmetry -- Pions -- Δs -- Strangeness -- U(1) symmetries -- SU(3) symmetry -- 4.7. Inversions -- Space inversion -- Orbital parity -- Intrinsic parity -- Parity of pions -- Violations of parity conservation -- P, C, and T -- 4.8. Algebraic Derivation of the Hydrogen Spectrum -- Runge[--]Lenz vector -- SO(3) x SO(3) commutation relations -- Energy levels -- Scattering states -- Four-dimensional interpretation -- 4.9. Rigid Rotator -- Laboratory and body-fixed coordinates -- Rotational energy -- Moment-of-inertia tensor -- Body-fixed angular momentum operator -- Energy levels of symmetric rotators -- Energy levels of general rotators -- Rotator wave functions -- Rotation representation DJM'M(R) -- Orthohydrogen and parahydrogen -- Estimated energies -- Problems -- 5.1. First-Order Perturbation Theory -- Non-degenerate case: first-order energy and state vector -- Degenerate case: first-order energy, ambiguity in first-order state vector -- classical analog -- 5.2. Zeeman Effect -- Gyromagnetic ratio -- Landé g-factor -- Sodium D lines -- Normal and anomalous Zeeman effect -- Paschen[--]Back effect -- 5.3. First-Order Stark Effect -- Mixing of 2s1/2 and 2p1/2 states -- Energy shift for weak fields -- Energy shift for strong fields -- 5.4. Second-Order Perturbation Theory -- Non-degenerate case: second-order energy and state vector -- Degenerate case: second-order energy, removal of ambiguity in first-order state vector -- Ultraviolet and infrared divergences -- Closure approximation -- Second-order Stark effect -- 5.5. Variational Method -- Upper bound on ground state energy -- Excited states -- Approximation to state vectors -- Virial theorem -- Other states -- 5.6. Born[--]Oppenheimer Approximation -- Reduced Hamiltonian -- Hellmann[--]Feynman theorem -- Estimate of corrections -- Electronic, vibrational, and rotational modes -- Effective theories -- 5.7. WKB Approximation -- Approximate solutions -- Validity conditions -- Turning points -- Energy eigenvalues [--] one dimension -- Energy eigenvalues [--] three dimensions -- 5.8. Broken Symmetry -- Approximate solutions for thick barriers -- Energy splitting -- Decoherence -- Oscillations -- Chiral molecules -- 5.9. Van der Waals Forces -- Expansion of interaction in spherical harmonics -- Second-order perturbation theory -- Dominance of the dipole[--]dipole term -- Problems -- 6.1. First-Order Perturbation Theory -- Differential equation for amplitudes -- Approximate solution -- 6.2. Monochromatic Perturbations -- Transition rate -- Fermi golden rule -- Continuum final states -- 6.3. Ionization by an Electromagnetic Wave -- Nature of perturbation -- Conditions on frequency -- Ionization rate of hydrogen ground state -- 6.4. Fluctuating Perturbations -- Stationary fluctuations -- Correlation function -- Transition rate -- 6.5. Absorption and Stimulated Emission of Radiation -- Dipole approximation -- Transition rates -- Energy density of radiation -- B-coefficients -- Spontaneous transition rate -- 6.6. Adiabatic Approximation -- Slowly varying Hamiltonians -- Dynamical phase -- Non-dynamical phase -- Degenerate case -- 6.7. Berry Phase -- Geometric character of the non-dynamical phase -- Closed curves in parameter space -- General formula for the Berry phase -- Spin in a slowly varying magnetic field -- 6.8. Rabi Oscillations and Ramsey Interferometers -- Two-state approximationE Rabi oscillation frequency -- Ramsey trick -- Precision measurements of transition frequencies -- 6.9. Open Systems -- Linear non-unitary evolution of density matrix -- Properties of evolution kernel -- Expansion of kernel in eigenmatrices -- Rate of change of density matrix -- Positivity -- Complete positivity -- Lindblad equation -- Increasing entropy -- Measurement -- Problems -- 7.1. In-States -- Wave packets -- Lippmann[--]Schwinger equation -- Wave packets at early times -- Spread of wave packet -- 7.2. Scattering Amplitudes -- Green's function for scattering -- Definition of scattering amplitude -- Wave packet at late times -- Differential cross section -- 7.3. Optical Theorem -- Derivation of theorem -- Conservation of probability -- Diffraction peak -- 7.4. Born Approximation -- First-order scattering amplitude -- Scattering by shielded Coulomb potential -- 7.5. Phase Shifts -- Partial wave expansion of plane wave -- Partial wave expansion of "in" wave function -- Partial wave expansion of scattering amplitude -- Scattering cross section -- Scattering length and effective range -- 7.6. Resonances -- Thick barriers -- Breit[--]Wigner formula -- Decay rate -- Alpha decay -- Ramsauer[--]Townsend effect -- 7.7. Time Delay -- Wigner formula -- Causality -- 7.8. Levinson's Theorem -- Historical introduction -- Particle states in a central potential -- General principles of quantum mechanics -- Spin et cetera -- Approximations for energy eigenstates -- Approximations for time-dependent problems -- Potential scattering -- General scattering theory -- The canonical formalism -- Charged particles in electromegnetic fields -- The quantum theory of radiation -- Entanglement.
• 入手可能性: 閲可/個否/協可
• 所蔵機関: 東京都立中央図書館
• 所蔵注記: 所蔵場所 : 2F開; 301
• 請求記号: 421.3-W42-L
• 連携機関・データベース: 東京都立中央図書館 : 公共図書館蔵書
• 書誌ID（SomokuID）: 1352051985; 7114693378
• OCLC番号: 2015021123; https://www.worldcat.org/oclc/2015021123; (OCoLC)910664598; https://www.worldcat.org/oclc/(OCoLC)910664598