An introduction to quantum theory / Jeff Greensite.

Author/creator Greensite, Jeff author.
Format Book
PublicationBristol : IOP Publishing, [2017]
Copyright Date©2017
Description1 volume (various pagings) : illustrations (some color) ; 27 cm.
Subjects
Quantum theory.

SeriesIOP expanding physics, 2054-7315
IOP expanding physics. ^A1373019
Contents 1.The classical state -- 1.1.Baseball, F = ma, and the principle of least action -- 1.2.Euler-Lagrange and Hamilton's equations -- 1.3.Classical mechanics in a nutshell -- 1.4.The classical state -- Problems -- 2.Origins of quantum mechanics -- 2.1.Black-body radiation -- 2.2.The photoelectric effect -- 2.3.The Compton effect -- 2.4.The Heisenberg microscope -- 2.5.The Bohr atom -- 2.6.de Broglie waves -- Problem -- 3.The wave-like behavior of electrons -- 3.1.Wave equation for de Broglie waves -- 3.2.The double-slit experiment -- 3.3.Do electrons travel along trajectories? -- Problem -- References -- 4.The quantum state -- 4.1.A new representation of motion -- 4.2.Hilbert space -- 4.3.The Dirac delta function -- 4.4.Expectation, uncertainty, and the quantum state -- Problems -- 5.Dynamics of the quantum state -- 5.1.Ehrenfest's principle -- 5.2.The Schrodinger wave equation -- 5.3.The time-independent Schrodinger equation -- 5.4.The free particle -- 5.5.Gaussian wavepackets -- 5.6.Group velocity and phase velocity -- 5.7.The particle in a closed tube -- Problems -- 6.Energy and uncertainty -- 6.1.The expectation value of pn -- 6.2.The Heisenberg uncertainty principle -- 6.3.The energy of energy eigenstates -- Problems -- Reference -- 7.Operators and observations -- 7.1.Probabilities from inner products -- 7.2.Operators and observables -- 7.3.The matrix analogy -- 7.4.Eigenstates as states of zero uncertainty -- 7.4.1.The generalized Born interpretation -- 7.5.The generalized uncertainty principle -- 7.6.The time-energy uncertainty relation -- Problems -- 8.Rectangular potentials -- 8.1.A qualitative sketch of energy eigenstates -- 8.2.Unbound states and quantum scattering -- 8.3.The step potential -- 8.4.The finite square well -- 8.4.1.Bound states E < 0 -- 8.4.2.Scattering states E > 0 -- 8.5.Tunneling -- 8.6.The delta function potential -- Problems -- 9.The harmonic oscillator -- 9.1.Raising and lowering operators -- 9.2.Algebra and expectation values -- Problems -- 10.Symmetry and degeneracy -- 10.1.The free particle and momentum conservation -- 10.2.Parity -- 10.3.The particle in a square -- 10.4.The quantum corral -- 10.5.Landau levels -- 10.6.Complete sets of observables -- Problems -- Reference -- 11.Angular momentum -- 11.1.The angular momentum commutators -- 11.2.The eigenvalues of angular momentum -- 11.3.The angular momentum cones -- 11.4.Eigenfunctions of angular momentum -- 11.5.The radial equation for central potentials -- 11.5.1.The free particle -- Problems -- 12.The hydrogen atom -- 12.1.The scale of the world -- Problems -- Reference -- 13.Electron spin -- 13.1.The Paschen-Back effect and the Stern-Gerlach experiment -- 13.2.Spin wave functions -- 13.2.1.Electron precession -- 13.2.2.Spin-orbit coupling -- Problems -- References -- 14.The addition of angular momentum -- 14.1.The general method -- Problems -- 15.Identical particles -- 15.1.Two-electron states -- 15.2.The helium atom -- 15.3.The periodic table -- Problems -- 16.Live wires and dead stars -- 16.1.The Kronig-Penny model -- 16.2.The free electron gas -- 16.2.1.Neutron stars -- Problems -- 17.Time-independent perturbation theory -- 17.1.Solution by power series -- 17.2.Validity of perturbation theory -- 17.3.Example: the enharmonic oscillator -- 17.4.Perturbation theory in matrix notation -- 17.5.Degenerate perturbation theory -- 17.5.1.Diagonalizing the submatrix -- 17.5.2.Example: the two-dimensional harmonic oscillator -- 17.5.3.Example: the Stark effect -- Problems -- Reference -- 18.Time-dependent potentials -- 18.1.Time-dependent perturbation theory -- 18.2.Harmonic perturbations -- 18.3.Potentials that vary slowly in time -- 18.4.Potentials that change suddenly in time -- Problems -- Reference -- 19.Atoms and light -- 19.1.The Einstein A and B coefficients -- 19.2.The B coefficient from quantum theory -- 19.3.Subtleties -- Problems -- Reference -- 20.The WKB approximation -- 20.1.Bound states -- 20.2.Tunneling -- Problems -- 21.The variational method -- Problems -- 22.Scattering theory -- 22.1.Scattering cross sections -- 22.2.Wave functions and the differential cross section -- 22.3.The method of partial waves -- 22.3.1.How many partial waves do we need? -- 22.3.2.Computing partial wave phase shifts -- 22.3.3.Example: low energy scattering from a hard sphere -- 22.3.4.Example: low energy scattering from an attractive potential well -- 22.4.Resonance scattering and subatomic particles -- 22.5.The Born approximation -- Problems -- Reference -- 23.Bras and kets, and canonical quantization -- 23.1.Outer products and unitary matrices -- 23.2.Position- and momentum-space wave functions -- 23.2.1.The harmonic oscillator basis -- 23.2.2.Landau levels again -- 23.3.The angular momentum basis -- 23.4.Density matrices, pure states, and mixed states -- 23.5.Poisson brackets and canonical quantization -- Problems -- Reference -- 24.Entangled states -- 24.1.The EPR 'paradox' -- 24.2.Bell's theorem -- 24.3.Entangled states and causality -- 24.4.Quantum teleportation -- 24.5.Quantum computation -- 24.6.For whom the bell tolls -- Problems -- References -- 25.The interpretations of quantum mechanics -- 25.1.Mixtures and pure states -- 25.2.The problem of measurement -- 25.3.A sample of proposals -- References -- 26.The Feynman path integral -- 26.1.The free particle propagator -- 26.2.Stationary phase and the functional derivative -- 26.3.The Aharonov-Bohm effect -- 26.3.1.Two-slit interference revisited -- 26.3.2.The effect of the solenoid -- 26.4.Operators from path integrals -- 26.5.Path integration as quantization -- Problems -- References -- 27.A glimpse of quantum field theory -- 27.1.The quantization of sound -- 27.2.The quantization of light.
ISBN9780750311687 hardback
ISBN0750311681 hardback
ISBNebook
ISBNmobi
Standard identifier# 40027196669

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QC174.12 .G745 2017 ✔ Available Place Hold