Page viii






Chapter II
The Mathematical Tools of Quantum Mechanics








91






A. One-Particle Wave Function Space







94






B. State Space. Dirac Notation







108






C. Representations in the State Space







121






D. Eigenvalue Equations Observables







132






E. Two Important Examples of Representations and Observables







144






F. Tensor Product of State Spaces







153







Complements of Chapter II


 




Reader's Guide







164






AII: The Schwarz Inequality







165






BII: Review of some Useful Properties of Linear Operators







166






CII: Unitary Operators







176






DII: A More Detailed Study of the { | r > } and { | p > } Representations







182






EII: Some General Properties of Two Observables, Q and P, whose Commutator is Equal to ih







187






FII: The Parity Operator







192






GII: An Application of the Properties of the Tensor Product : The Two-dimensional Infinite Well







199






HII: Exercises







203







Chapter III
The Postulates of Quantum Mechanics








211






A. Introduction







213






B. Statement of the Postulates







214






C. The Physical Interpretation of the Postulates Concerning Observables and Their Measurement







225






D. The Physical Implications of the Schrödinger Equation







236






E. The Superposition Principle and Physical Predictions







252







Complements of Chapter III


 




Reader's Guide







267






AIII: Particle in an Infinite Potential Well







269






BIII: Study of the Probability Current in some Special Cases







280






CIII: Root-Mean-square Deviations of Two conjugate Observables







286






DIII: Measurements Bearing on Only One Part of a Physical System







290






EIII: The Density Operator







295






FIII: The Evolution Operator







308






GIII: The Schrödinger and Heisenberg Pictures







312






HIII: Gauge Invariance







315






JIII: Propagator for the Schrödinger Equation







329






KIII Unstable States Lifetime







337






LIII: Exercises







341



Start of Citation[PU]John Wiley & Sons, Inc. (US)[/PU][DP]1977[/DP]End of Citation