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DEPARTAMENTOS
INTERESSE GERAL
INTERESSE GERAL 2
LIVROS TÉCNICOS
LIVROS TÉCNICOS 2
CATEGORIAS
- IMPORTADOS
Quantum Theory
Cód:
491_9789401776370
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Preface. Acknowledgments. 1: Fundamentals. 1.1 Selective Measurements 1.2. A, B, C to Probabilities. 1.3. Expectation Values and Matrix Representations. 1.4. Generation of States, Inner-Product Spaces, Hermitian Operators and the Eigenvalue Problem. 1.5. Pure Ensembles and Mixtures 1.6. Polarization of Light: An Interlude. 1.7. The Hilbert Space; Rigged Hilbert Space. 1.8. Self-Adjoint Operators and Their Spectra.1.9. Wigners Theorem on Symmetry Transformations. 1.10. Probability, Conditional Probability and Measurement. Problems. 2: Symmetries and Transformations. 2.1. Galilean Space-Time Coordinate Transformations. 2.2. Successive Galilean Transformations and the Closed Path. 2.3. Quantum Galilean Transformations and Their Generators. 2.4. The Transformation Function (x|p). 2.5. Quantum Dynamics and Construction of Hamiltonians. Appendix to §2.5: Time-Evolution for Time-Dependent Hamiltonians. 2.6. Discrete Transformations: Parity and Time Reversal. 2.7. Orbital Angular Momentum and Spin. 2.8. Spinors and Arbitrary Spins. Appendix to §2.8: Transformation Rule of a Spinor of Rank One Under a Coordinate Rotation. 2.9. Supersymmetry. Problems. 3: Uncertainties, Localization, Stability and Decay of Quantum Systems. 3.1. Uncertainties, Localization and Stability. 3.2. Boundedness of the Spectra of Hamiltonians From Below. 3.3. Boundedness of Hamiltonians From Below: General Classes of Interactions. 3.4. Boundedness of Hamiltonian From Below: Multi-Particle Systems. 3.5. Decay of Quantum Systems. Appendix to §3.5: The Paley-Wiener Theorem. Problems. 4: Spectra of Hamiltonians. 4.1. Hamiltonians with Potentials Vanishing at Infinity. 4.2. On Bound-States. 4.3. Hamiltonians with Potentials Approaching Finite Constants at Infinity. 4.4. Hamiltonians with Potentials Increasing with No Bound at Infinity. 4.5. Counting the Number of Eigenvalues. Appendix to §4.5: Evaluation of Certain Integrals. 4.6. Lower Bounds to the Expectation Value of the KineticEnergy: An Application
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