Quantum mechanics upon theorems / Fu-Sui Liu.

Format:

Book

Author/Creator:

Liu, Fu-sui.

Contributor:

Liu, Fu-sui, editor.

Series:

Classical and quantum mechanics series.

Physics research and technology

Classical and quantum mechanics

Language:

English

Subjects (All):

Wave mechanics.

Quantum theory.

Physical Description:

1 online resource (466 p.)

Place of Publication:

New York, New York : Nova Publishers, Inc., [2013]

Language Note:

English

Summary:

This innovative new textbook contains forty-nine theorems, sixteen corollaries, one criterion, and one law, and thus for the first time, approaches quantum mechanics in a manner to be established on the basis of exact proofs instead of on postulates, principles, axioms, hypotheses, assumptions, and guesses, and in a manner to be free from paradoxes. In this textbook, most chapters start with a bit of history, because the historical experiences are worthy to note. All the difficult points, such as the wave-particle duality and uncertainty relations and operator representation of the observable

Contents:

""QUANTUM MECHANICS UPON THEOREMS""; ""QUANTUM MECHANICS UPON THEOREMS""; ""Library of Congress Cataloging-in-Publication Data""; ""Contents""; ""Preface""; ""Chapter 1: Birth of Quantum Mechanics""; ""1.1. Difficulties of Classical Physics""; ""1.2. Planck-Einstein�s Quantum Postulate of Light""; ""1.3. Bohr Postulates of Atomic States""; ""1.4. de BloglieMatterWave Hypotheses""; ""1.5. Davidson and Germer Experiment""; ""1.6. Young�s Double Slit Experiment""; ""1.7. Establishment of Quantum Mechanics""; ""1.8. Heisenberg Uncertainty Relation""

""1.9. Statistical Interpretation of Quantum Mechanics""""1.10. Exercises and Solutions""; ""Chapter 2: Classical Mechanics and Mathematics""; ""2.1. Introduction""; ""2.2. Foundation of Classical Mechanics""; ""2.3. Hilbert Space and Operators""; ""2.4. Fourier Transformation""; ""2.5. Mathematical Uncertainty Relations""; ""Chapter 3: Wavepacket-Only Theory""; ""3.1. Introduction""; ""3.2. Existence of Universal Constant""; ""3.3. Uncertainty Relations""; ""3.4. Wavepacket-Only Theory""; ""3.5. SchrÂ?odinger Equation""; ""3.6. Quantum or Classical Mechanics""

""3.7. Exercises and Solutions""""Chapter 4: Stationary states of One Dimension System""; ""4.1. General Properties""; ""4.2. Infinite Square Well and Discrete Spectrum""; ""4.3. One Dimensional Potential Barrier andWell""; ""4.4. One Dimensional Harmonic Oscillator""; ""4.5. Particle in Gravitational Field""; ""4.6. Energy Quantization of Bound State""; ""4.7. Exercises and Solutions""; ""Chapter 5: General Formalism""; ""5.1. Expansion in Eigenfunctions""; ""5.2. Hermitian Operators""; ""5.3. Commutation Relations of Operators""; ""5.4. Normalization and Periodic Boundary Condition""

""5.5. Motion Equation of Operator""""5.6. Symmetries and Conservations of Average Values""; ""5.7. Pictures of Quantum Mechanics""; ""5.8. Three Formulations of Quantum Mechanics""; ""5.9. Exercises and Solutions""; ""Chapter 6: Angular Momentum and Hydrogen-Like Atoms""; ""6.1. Orbital Angular Momentum""; ""6.2. Hydrogen Atom""; ""6.3. Hellmann-Feynman Theorems""; ""6.4. General Properties of Central Field""; ""6.5. Exercises and Solutions""; ""Chapter 7: Charged Particle in Electromagnetic Fields""; ""7.1. Electromagnetic Field in Classical Mechanics""

""7.2. Electromagnetic Field in Quantum Mechanics""""7.3. Aharonov-Bohm Effect""; ""7.4. Exercises and Solutions""; ""Chapter 8: Particle of Spin 1/2""; ""8.1. General Concept""; ""8.2. States of Spin 1/2""; ""8.3. Spin Operator""; ""8.4. More about Eigenstates of Spin 1/2""; ""8.5. Exercises and Solutions""; ""Chapter 9: Identical Particles""; ""9.1. Characteristics of Identical Particles""; ""9.2. System with two Identical Particles""; ""9.3. Wavefunctions of N Identical Particle System""; ""9.4. Spin States of Two Electron System""; ""9.5. Bell Basis and Entangled States""

""9.6. Exercises and Solutions""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed November 9, 2013).

ISBN:

1-62808-908-3