Fundamentals of quantum mechanics. (2006)

• Record Type: Book
• Further Information: Note: Şakir Erkoç.
• Other Names: Erkoç, Şakir
• Contents: HISTORICAL EXPERIMENTS AND THEORIES; Dates of Important Discoveries and Events; Blackbody Radiation; Photoelectrice Effect; Quantum Theory of Spectra; TheComptone Effect; Matterwaves, the de Broglie Hypothesis; The Davisson -Germer Experiment; Heisenberg's Uncertainity Principle; Difference Between Particles and Waves; Interpretation of the Wavefunction; ; AXIOMATIC STRUCTURE OF QUANTUM MECHANICS; The Necessity of Quantum Theory; Function Spaces; Postulates of Quantum Mechanics; The Kronecker Delta and the Dirac Delta Function; Dirac Notation; ; OBSERVABLES AND SUPERPOSITION; Free Particle; Particle In A Box; Ensemble Average; Hilbert -Space Interpretation; The Initial Square Wave; Particle Beam; Superposition and Uncertainty; Degeneracy of States; Commutators and Uncertainty; ; TIME DEVELOPMENT AND CONSERVATION THEOREMS; Time Development of State Functions, The Discrete Case; The Continuous Case, Wave Packets; Particle Beam; Gaussian Wave Packet; Free Particle Propagator; The Limiting Cases of the Gaussian Wave Packets; Time Development of Expectation Values; Conservation of Energy and Momentum; Conservation of Parity; ; BOUND AND UNBOUND STATES IN ONE-DIMENSION; One-Dimensional Schrödinger Equation; The Simple Harmonic Oscillator; Unbound States; One-Dimensional Barrier Problems; The Finite Potential Well; ; N-PARTICLE SYSTEMS; The Schrödinger Equation for N-Particle Systems; Identical Particles; The Pauli Principle; Fermions and Bosons; ; THE SCHRÖDINGER EQUATION IN THREE-DIMENSIONS; The Two-Body Systems; Separation of Variables in the Two-Body Systems; Rotational Invariance; The Schrödinger Equation for Non-Central Potentials; ; ANGULAR MOMENTUM; Commutation Relations; Raising and Lowering Operators; Eigen Solutions of Angular Momentum Operators; Kinetic Energy and Angular Momentum ; ; THE RADIAL EQUATION FOR FREE AND BOUND PARTICLES; The Radial Schrödinger Equation; The Free Particle; Three-Dimensional Square Well Potential; The Hydrogenatom; The Spectra of Hydrogenic Atoms; The Virial Theorem; ; INTERACTION OF ELECTRONS WITH ELECTROMAGNETIC FIELD; Maxwell 's Equations and Gauge Transformations; Motion of a Free Electron in a Uniform Magnetic Field; Motion of a Bound Electron in a Uniform Magnetic Field; The Principal of Gauge Invariance and Flux Quantization; ; MATRIX REPRESENTATIONS; Matrix Representations of Wave Functions and Operators; Matrix Algebra; Types of Matrix Representations; Harmonic Oscillator in Matrix Representations; Matrix Representations of Angular Momentum Operators; ; SPIN AND THE ADDITION OF ANGULAR MOMENTA; Systems with Spin One-Half; The Addition of Angular Momenta; ; TIME-INDEPENDENT PERTURBATION THEORY; Nondegenerate Perturbation Theory; Degenerate Perturbation Theory; ; THE VARIATIONAL METHOD; The Variational Principle; Linear Variation Functions; ; THE WKB APPROXIMATION; Turning Points; The Connection Formulas; The WKB Approximation to a Potential Well; The WKB Approximation to a Potential Barrier; ; TIME-DEPENDENT PERTURBATION THEORY; Time -Dependent Schrödinger Equation; Time -Dependent Perturbation Approximations; Sinusoidal Perturbations; Emission and Absorption of Radiation; Incoherent Perturbations; Selection Rules; ; THE ADIABATIC APPROXIMATION; The Adiabatic Processes; The Adiabatic Theorem; Nonholonomic Processes; Experimental Evidences of Nonholonomic Processes; ; PATH-INTEGRATION METHOD; An Approximation to Time -Evolution for a Free Particle; Path Integral Evaluation of the Free Particle Propagator; Equivalence to the Schrödinger Equation; ; SCATTERING THEORY; Classical Scattering Theory; Center-of-Mass and Laboratory Frames ; Quantum Scattering Theory; The Method of Partial waves (Low -Energy Case); Expansion of a Plane Wave into Spherical Waves; Expansion of the Scattering Amplitude; Scattering from a Delta Potential; Scattering from a Square -Well Potential; Scattering from a Hardsphere; Scattering of Identical Particles; Energy Dependence and Resonance Scattering; The Lippman-Schwinger Equation (High-Energy Case); The Greens Function for the Scattering Problem; Born Approximation; ; INELASTIC SCATTERING; ; Bibliography and References 409; Appendix 413; Index 417
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2006
• Extent: 1 online resource (433 pages), (125 illustrations)
• Subjects: 530.12; Quantum theory
• Languages: English
• ISBNs: 9781584887331; 1584887338
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.