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Chapter II
The Mathematical Tools of Quantum Mechanics |
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A. One-Particle Wave Function Space |
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B. State Space. Dirac Notation |
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C. Representations in the State Space |
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D. Eigenvalue Equations Observables |
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E. Two Important Examples of Representations and Observables |
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F. Tensor Product of State Spaces |
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Complements of Chapter II |
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Reader's Guide |
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AII: The Schwarz Inequality |
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BII: Review of some Useful
Properties of Linear Operators |
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CII: Unitary Operators |
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DII: A More Detailed Study
of the { | r > } and { | p > } Representations |
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EII: Some General
Properties of Two Observables, Q and P, whose Commutator is Equal to ih |
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FII: The Parity Operator |
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GII: An Application of the
Properties of the Tensor Product : The Two-dimensional Infinite Well |
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HII: Exercises |
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Chapter III
The Postulates of Quantum Mechanics |
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A. Introduction |
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B. Statement of the Postulates |
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C. The Physical Interpretation of the Postulates Concerning
Observables and Their Measurement |
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D. The Physical Implications of the Schrödinger Equation |
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E. The Superposition Principle and Physical Predictions |
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Complements of Chapter III |
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Reader's Guide |
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AIII: Particle in an
Infinite Potential Well |
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BIII: Study of the
Probability Current in some Special Cases |
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CIII: Root-Mean-square
Deviations of Two conjugate Observables |
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DIII: Measurements Bearing
on Only One Part of a Physical System |
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EIII: The Density Operator |
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FIII: The Evolution Operator |
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GIII: The Schrödinger and
Heisenberg Pictures |
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HIII: Gauge Invariance |
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JIII: Propagator for the
Schrödinger Equation |
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KIII
Unstable States Lifetime |
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LIII: Exercises |
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