Mechanics : classical and quantum
Başlık:
Mechanics : classical and quantum
Yazar:
Taylor, T. T. (Thomas Tallott)
ISBN:
9781483187341
9781483139982
Yazar Ek Girişi:
Basım Bilgisi:
1st ed.
Yayın Bilgileri:
Oxford ; New York : Pergamon Press, 1976.
Fiziksel Tanımlama:
1 online resource (xi, 399 pages) : illustrations.
Seri:
International series of monographs in natural philosophy ; v. 82
Pergamon international library of science, technology, engineering, and social studies
International series of monographs in natural philosophy ; v. 82.
Pergamon international library of science, technology, engineering, and social studies.
İçerik:
Front Cover; Mechanics: Classical and Quantum; Copyright Page; Table of Contents; PREFACE; CHAPTER 1. THE LAGRANGIAN FORMULATION OF MECHANICS; 1.01. The Harmonic Oscillator; a New Look at an Old Problem; 1.02. A System and its Configuration; 1.03. Generalized Coordinates and Velocities; 1.04. Kinetic Energy and the Generalized Momenta; 1.05. Lagrange's Equations; 1.06. Holonomic Constraints; 1.07. Electromagnetic Applications; 1.08. Hamilton's Principle; CHAPTER 2. THE HAMILTONIAN FORMULATION OF MECHANICS; 2.01. Hamilton's Equations; 2.02. The Hamiltonian as a Constant of the Motion.
2.03. Hamiltonian Analysis of the Kepler Problem2.04. Phase Space; CHAPTER 3. HAMILTON-JACOBI THEORY; 3.01. Canonical Transformations; 3.02. Hamilton's Principal Function and the Hamilton-Jacobi Equation; 3.03. Elementary Properties of Hamilton's Principal Function; 3.04. Field Properties of Hamilton's Principal Function in the Context of Forced Motion; 3.05. Hamilton's Principal Function and the Concept of Action; CHAPTER 4. WAVES; 4.01. Waves on a String under Tension; 4.02. Waves on a String under Tension and Local Restoring Force; 4.03. The Superposition of Waves.
4.04. Extension to Three Dimensions Plane Waves; 4.05. Quasi-Plane Waves; the Short Wavelength Limit; CHAPTER 5. HISTORICAL BACKGROUND OF THE QUANTUM THEORY; 5.01. Isothermal Cavity Radiation; 5.02. Enumeration of Electromagnetic Modes; the Rayleigh-Jeans Result; 5.03. Planck's Quantum Hypothesis; 5.04. The Photoelectric Effect; 5.05. Bohr's Explanation of the Hydrogen Spectrum; 5.06. The Compton Effect; 5.07. The de Broglie Relations and the Davisson -- Germer Experiment; CHAPTER 6. WAVE MECHANICS; 6.01. The Two Branches of Quantum Theory; 6.02. Waves and Wave Packets.
6.03. The Schrödinger Equation6.04. Interpretation of [psi]*[psi]; Normalization and Probability Current; 6.05. Expectation Values; CHAPTER 7. THE TIME-INDEPENDENT SCHRÖDINGER EQUATION AND SOME OF ITS APPLICATIONS; 7.01. Time-independent Potential Energy Functions and Stationary Quantum States; 7.02. The Rectangular Step; Transmission and Reflection; 7.03. The Rectangular Barrier and Tunneling; 7.04. Stationary States of the Infinite Rectangular Well; 7.05. Stationary States of the Finite Rectangular Well; Bound States and Continuum States; 7.06. The Particle in a Box.
7.07. The One-dimensional Harmonic OscillatorCHAPTER 8. OPERATORS, OBSERVABLES, AND THE QUANTIZATION OF A PHYSICAL SYSTEM; 8.01. General Definition of Operators; Linear Operators; 8.02. The Non-commutative Algebra of Operators; 8.03. Eigenfunctions and Eigenvalues; the Operators for Momentum and Position; 8.04. The Association of an Operator with an Observable and the Calculation of Expectation Values; 8.05. The Hamiltonian Operator and the Generalized Derivation of the Schrödinger Equation; 8.06. Hermitian Operators and Expansion in Eigenfunctions.
Özet:
Mechanics: Classical and Quantum explains the principles of quantum mechanics via the medium of analytical mechanics. The book describes Schrodinger's formulation, the Hamilton-Jacobi equation, and the Lagrangian formulation. The author discusses the Harmonic Oscillator, the generalized coordinates, velocities, as well as the application of the Lagrangian formulation to systems that are partially or entirely electromagnetic in character under certain conditions. The book examines waves on a string under tension, the isothermal cavity radiation, and the Rayleigh-Jeans result pertaining to the e.
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Tür:
Elektronik Erişim:
ScienceDirect http://www.sciencedirect.com/science/book/9780080180632Mevcut:*
Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
|---|---|---|---|
| QC174.12 .T4 1976 | 1181894-1001 | Elsevier E-Kitap Koleksiyonu | Arıyor... |
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