Quantum Mechanics: Fundamentals

Front Cover
Springer Science & Business Media, Dec 1, 2013 - Science - 622 pages
Quantum mechanics was already an old and solidly established subject when the first edition of this book appeared in 1966. The context in which a graduate text on quantum mechanics is studied today has changed a good deal, however. In 1966, most entering physics graduate students had a quite limited exposure to quan tum mechanics in the form of wave mechanics. Today the standard undergraduate curriculum contains a large dose of elementary quantum mechanics, and often intro duces the abstract formalism due to Dirac. Back then, the study of the foundations by theorists and experimenters was close to dormant, and very few courses spent any time whatever on this topic. At that very time, however, John Bell's famous theorem broke the ice, and there has been a great flowering ever since, especially in the laboratory thanks to the development of quantum optics, and more recently because of the interest in quantum computing. And back then, the Feynman path integral was seen by most as a very imaginative but rather useless formulation of quantum mechanics, whereas it now plays a large role in statistical physics and quantum field theory, especially in computational work. For these and other reasons, this book is not just a revision of the 1966 edition. It has been rewritten throughout, is differently organized, and goes into greater depth on many topics that were in the old edition.
 

Contents

Fundamental Concepts
1
The Formal Framework
26
1
44
d Entangled States
50
b The Heisenberg Picture
60
c Time Development of Expectation Values
66
Basic Tools
113
4
127
e The Kronecker Product
306
d RigidBody Motion
317
c Racah Coefficients and 6j Symbols
324
263
325
Elastic Scattering
335
c ShortWavelength Approximations
364
Inelastic Collisions
397
1
403

a General Results
133
d Matrix Elements of Vector Operators
140
LowDimensional Systems
165
c Coherent States
194
Hydrogenic Atoms
235
b Hyperfine Structure
249
TwoElectron Atoms
267
c Decay Angular Distributions 316
299
Electrodynamics
437
Systems of Identical Particles
502
a The Grand Canonical Ensemble
520
Interpretation
539
Relativistic Quantum Mechanics
577
Appendix
607
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