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Heisenberg's quantum mechanics /
This book provides a detailed account of quantum theory with a much greater emphasis on the Heisenberg equations of motion and the matrix method.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, N.J. :
World Scientific,
©2011.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Razavy, Mohsen. | |
| 245 | 1 | 0 | |a Heisenberg's quantum mechanics / |c Mohsen Razavy. |
| 260 | |a Singapore ; |a Hackensack, N.J. : |b World Scientific, |c ©2011. | ||
| 300 | |a 1 online resource (xix, 657 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g Machine generated contents note: |g 1.1. |t The Lagrangian and the Hamilton Principle -- |g 1.2. |t Noether's Theorem -- |g 1.3. |t The Hamiltonian Formulation -- |g 1.4. |t Canonical Transformation -- |g 1.5. |t Action-Angle Variables -- |g 1.6. |t Poisson Brackets -- |g 1.7. |t Time Development of Dynamical Variables and Poisson Brackets -- |g 1.8. |t Infinitesimal Canonical Transformation -- |g 1.9. |t Action Principle with Variable End Points -- |g 1.10. |t Symmetry and Degeneracy in Classical Dynamics -- |g 1.11. |t Closed Orbits and Accidental Degeneracy -- |g 1.12. |t Time-Dependent Exact Invariants -- |g 2.1. |t Equivalence of Wave and Matrix Mechanics -- |g 3.1. |t Vectors and Vector Spaces -- |g 3.2. |t Special Types of Operators -- |g 3.3. |t Vector Calculus for the Operators -- |g 3.4. |t Construction of Hermitian and Self-Adjoint Operators -- |g 3.5. |t Symmetrization Rule -- |g 3.6. |t Weyl's Rule -- |g 3.7. |t Dirac's Rule -- |g 3.8. |t Von Neumann's Rules -- |g 3.9. |t Self-Adjoint Operators -- |g 3.10. |t Momentum Operator in a Curvilinear Coordinates. |
| 505 | 0 | 0 | |g 14.2. |t Two Solvable Problems -- |g 14.3. |t Time-Dependent Scattering Theory -- |g 14.4. |t The Scattering Matrix -- |g 14.5. |t The Lippmann[-]Schwinger Equation -- |g 14.6. |t Analytical Properties of the Radial Wave Function -- |g 14.7. |t The Jost Function -- |g 14.8. |t Zeros of the Jost Function and Bound Sates -- |g 14.9. |t Dispersion Relation -- |g 14.10. |t Central Local Potentials having Identical Phase Shifts and Bound States -- |g 14.11. |t The Levinson Theorem -- |g 14.12. |t Number of Bound States for a Given Partial Wave -- |g 14.13. |t Analyticity of the S-Matrix and the Principle of Casuality -- |g 14.14. |t Resonance Scattering -- |g 14.15. |t The Born Series -- |g 14.16. |t Impact Parameter Representation of the Scattering Amplitude -- |g 14.17. |t Determination of the Impact Parameter Phase Shift from the Differential Cross Section -- |g 14.18. |t Elastic Scattering of Identical Particles -- |g 14.19. |t Transition Probability -- |g 14.20. |t Transition Probabilities for Forced Harmonic Oscillator -- |g 15.1. |t Diffraction in Time -- |g 15.2. |t High Energy Scattering from an Absorptive Target. |
| 505 | 0 | 0 | |g 9.8. |t The Hydrogen Atom -- |g 9.9. |t Calculation of the Energy Eigenvalues Using the Runge[-]Lenz Vector -- |g 9.10. |t Classical Limit of Hydrogen Atom -- |g 9.11. |t Self-Adjoint Ladder Operator -- |g 9.12. |t Self-Adjoint Ladder Operator tiff Angular Momentum -- |g 9.13. |t Generalized Spin Operators -- |g 9.14. |t The Ladder Operator -- |g 10.1. |t Discrete-Time Formulation of the Heisenberg's Equations of Motion -- |g 10.2. |t Quantum Tunneling Using Discrete-Time Formulation -- |g 10.3. |t Determination of Eigenvalues from Finite-Difference Equations -- |g 10.4. |t Systems with Several Degrees of Freedom -- |g 10.5. |t Weyl-Ordered Polynomials and Bender[-]Dunne Algebra -- |g 10.6. |t Integration of the Operator Differential Equations -- |g 10.7. |t Iterative Solution for Polynomial Potentials -- |g 10.8. |t Another Numerical Method for the Integration of the Equations of Motion -- |g 10.9. |t Motion of a Wave Packet -- |g 11.1. |t Perturbation Theory Applied to the Problem of a Quartic Oscillator -- |g 11.2. |t Degenerate Perturbation Theory. |
| 505 | 0 | 0 | |g 3.11. |t Summation Over Normal Modes -- |g 4.1. |t The Uncertainty Principle -- |g 4.2. |t Application of the Uncertainty Principle for Calculating Bound State Energies -- |g 4.3. |t Time-Energy Uncertainty Relation -- |g 4.4. |t Uncertainty Relations for Angular Momentum-Angle Variables -- |g 4.5. |t Local Heisenberg Inequalities -- |g 4.6. |t The Correspondence Principle -- |g 4.7. |t Determination of the State of a System -- |g 5.1. |t Schwinger's Action Principle and Heisenberg's equations of Motion -- |g 5.2. |t Nonuniqueness of the Commutation Relations -- |g 5.3. |t First Integrals of Motion -- |g 6.1. |t Galilean Invariance -- |g 6.2. |t Wave Equation and the Galilean Transformation -- |g 6.3. |t Decay Problem in Nonrelativistic Quantum Mechanics and Mass Superselection Rule -- |g 6.4. |t Time-Reversal Invariance -- |g 6.5. |t Parity of a State -- |g 6.6. |t Permutation Symmetry -- |g 6.7. |t Lattice Translation -- |g 6.8. |t Classical and Quantum Integrability -- |g 6.9. |t Classical and Quantum Mechanical Degeneracies -- |g 7.1. |t Klein's Method -- |g 7.2. |t The Anharmonic Oscillator -- |g 7.3. |t The Double-Well Potential. |
| 505 | 0 | 0 | |g 7.4. |t Chasman's Method -- |g 7.5. |t Heisenberg's Equations of Motion for Impulsive Forces -- |g 7.6. |t Motion of a Wave Packet -- |g 7.7. |t Heisenberg's and Newton's Equations of Motion -- |g 8.1. |t Energy Spectrum of the Two-Dimensional Harmonic Oscillator -- |g 8.2. |t Exactly Solvable Potentials Obtained from Heisenberg's Equation -- |g 8.3. |t Creation and Annihilation Operators -- |g 8.4. |t Determination of the Eigenvalues by Factorization Method -- |g 8.5. |t A General Method for Factorization -- |g 8.6. |t Supersymmetry and Superpotential -- |g 8.7. |t Shape Invariant Potentials -- |g 8.8. |t Solvable Examples of Periodic Potentials -- |g 9.1. |t The Angular Momentum Operator -- |g 9.2. |t Determination of the Angular Momentum Eigenvalues -- |g 9.3. |t Matrix Elements of Scalars and Vectors and the Selection Rules -- |g 9.4. |t Spin Angular Momentum -- |g 9.5. |t Angular Momentum Eigenvalues Determined from the Eigenvalues of Two Uncoupled Oscillators -- |g 9.6. |t Rotations in Coordinate Space and in Spin Space -- |g 9.7. |t Motion of a Particle Inside a Sphere. |
| 505 | 0 | 0 | |g 11.3. |t Almost Degenerate Perturbation Theory -- |g 11.4. |t van der Waals Interaction -- |g 11.5. |t Time-Dependent Perturbation Theory -- |g 11.6. |t The Adiabatic Approximation -- |g 11.7. |t Transition Probability to the First Order -- |g 12.1. |t WKB Approximation for Bound States -- |g 12.2. |t Approximate Determination of the Eigenvalues for Nonpolynomial Potentials -- |g 12.3. |t Generalization of the Semiclassical Approximation to Systems with N Degrees of Freedom -- |g 12.4. |t A Variational Method Based on Heisenberg's Equation of Motion -- |g 12.5. |t Raleigh[-]Ritz Variational Principle -- |g 12.6. |t Tight-Binding Approximation -- |g 12.7. |t Heisenberg's Correspondence Principle -- |g 12.8. |t Bohr and Heisenberg Correspondence and the Frequencies and Intensities of the Emitted Radiation -- |g 13.1. |t Equations of Motion of Finite Order -- |g 13.2. |t Equation of Motion of Infinite Order -- |g 13.3. |t Classical Expression for the Energy -- |g 13.4. |t Energy Eigenvalues when the Equation of Motion is of Infinite Order -- |g 14.1. |t Determinantal Method in Potential Scattering. |
| 505 | 0 | 0 | |g 16.1. |t The Aharonov-Bohm Effect -- |g 16.2. |t Time-Dependent Interaction -- |g 16.3. |t Harmonic Oscillator with Time-Dependent Frequency -- |g 16.4. |t Heisenberg's Equations for Harmonic Oscillator with Time-Dependent Frequency -- |g 16.5. |t Neutron Interferometry -- |g 16.6. |t Gravity-Induced Quantum Interference -- |g 16.7. |t Quantum Beats in Waveguides with Time-Dependent Boundaries -- |g 16.8. |t Spin Magnetic Moment -- |g 16.9. |t Stern-Gerlach Experiment -- |g 16.10. |t Precession of Spin Magnetic Moment in a Constant Magnetic Field -- |g 16.11. |t Spin Resonance -- |g 16.12. |t A Simple Model of Atomic Clock -- |g 16.13. |t Berry's Phase -- |g 17.1. |t Ground State of Two-Electron Atom -- |g 17.2. |t Hartree and Hartree-Fock Approximations -- |g 17.3. |t Second Quantization -- |g 17.4. |t Second-Quantized Formulation of the Many-Boson Problem -- |g 17.5. |t Many-Fermion Problem -- |g 17.6. |t Pair Correlations Between Fermions -- |g 17.7. |t Uncertainty Relations for a Many-Fermion System -- |g 17.8. |t Pair Correlation Function for Noninteracting Bosons -- |g 17.9. |t Bogoliubov Transformation for a Many-Boson System. |
| 505 | 0 | 0 | |g 17.10. |t Scattering of Two Quasi-Particles -- |g 17.11. |t Bogoliubov Transformation for Fermions Interacting through Pairing Forces -- |g 17.12. |t Damped Harmonic Oscillator -- |g 18.1. |t Coherent State of the Radiation Field -- |g 18.2. |t Casimir Force -- |g 18.3. |t Casimir Force Between Parallel Conductors -- |g 18.4. |t Casimir Force in a Cavity with Conducting Walls -- |g 19.1. |t Theory of Natural Line Width -- |g 19.2. |t The Lamb Shift -- |g 19.3. |t Heisenberg's Equations for Interaction of an Atom with Radiation -- |g 20.1. |t EPR Experiment with Particles -- |g 20.2. |t Classical and Quantum Mechanical Operational Concepts of Measurement -- |g 20.3. |t Collapse of the Wave Function -- |g 20.4. |t Quantum versus Classical Correlations. |
| 520 | |a This book provides a detailed account of quantum theory with a much greater emphasis on the Heisenberg equations of motion and the matrix method. | ||
| 520 | |a The book features a deeper treatment of the fundamental concepts such as the rules of constructing quantum mechanical operators and the classical-quantal correspondence; the exact and approximate methods based on the Heisenberg equations; the determinantal approach to the scattering theory and the LSZ reduction formalism where the latter method is used to obtain the transition matrix. The uncertainty relations for a number of different observables are derived and discussed. A comprehensive chapter on the quantization of systems with nonlocalized interaction is included. Exact solvable models, and approximate techniques for solution of realistic many-body problems are also considered. The book takes a unified look in the final chapter, examining the question of measurement in quantum theory, with an introduction to the Bell's inequalities. --Book Jacket. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Quantum theory. | |
| 650 | 6 | |a Théorie quantique. | |
| 650 | 7 | |a SCIENCE |x Physics |x Quantum Theory. |2 bisacsh | |
| 650 | 7 | |a Quantum theory. |2 fast |0 (OCoLC)fst01085128 | |
| 776 | 0 | 8 | |i Print version: |a Razavy, Mohsen. |t Heisenberg's quantum mechanics. |d Singapore ; Hackensack, N.J. : World Scientific, ©2011 |z 9789814304115 |z 9814304115 |w (OCoLC)496957986 |
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