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Quantum theory. I, Elements

Author: D R Bates
Publisher: New York, New York ; London [England] : Academic Press, Inc., 1961. ©1961
Series: Pure and applied physics, Volume 10.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Quantum theory. I, Elements.
New York, New York ; London, [England] : Academic Press, Inc., ©1961
xv, 447 pages
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D R Bates
ISBN: 9781483275888 1483275884 148322791X 9781483227917
OCLC Number: 899010222
Description: 1 online resource (466 pages).
Contents: Appendix 1. The Dirac [delta]-FunctionAppendix 2. Eigenstates and Eigenvalues of the Electron Spin; Chapter 3. Exactly Soluble Bound State Problems; 1. Rectangular Potential Wells; 2. Harmonic Oscillators; 3. System of Two Particles; 4. Spherically Symmetrical Potentials; 5. The Coulomb Potential; 6. Two-Centre Coulomb Potentials; 7. Momentum Wave Functions; References; Appendix 1. Hermite Polynomials; Appendix 2. Legendre Polynomials and Spherical Harmonics; Appendix 3. Laguerre Polynomials; Appendix 4. Spherical Bessel Functions; Chapter 4. The Continuum; 1. Free Particle. Energy Wave Functions. 2. Delta Function Normalization3. Spherically Symmetric Potentials; References; Appendix. Coulomb Wave Functions; REFERENCES TO APPENDIX; Chapter 5. Stationary Perturbation Theory; 1. The Rayleigh-Schrödinger Perturbation Theory; 2. The Nondegenerate Case; 3. The Degenerate Case; 4. Perturbation Theory in Matrix Form; 5. Reduction of the Degenerate Case to the Nondegenerate; 6. Relative Degeneracy; 7. The Lennard-Jones-Brillouin-Wigner Series Expansion; References; Chapter 6. The Variational Method; 1. The Rayleigh-Ritz Variational Method; 2. Lower Bounds for the Ground State Eigenenergy. 3. Method of Linear Combinations4. Two-Electron Systems; 5. The Virial Theorem; References; Chapter 7. The Asymptotic Approximation (AA) Method; 1. History and Description of the Method; 2. Applications of the Method to Potential Well Problems; 3. Application of the Method to Potential Barrier Problems; 4. Radial Problems; References; Chapter 8. Transitions; 1. Variation of Constants; 2. Transient Perturbations; 3. Persistent Perturbations; 4. Sudden Approximation; 5. Time-Independent and Harmonic Perturbations; 6. Adiabatic Approximation; References; Chapter 9. Theory of Collisions. 1. Classical Considerations 2. Quantum Theory of Scattering by a Centre of Force; 3. Applications of Preceding Theory; 4. Methods of Determining Scattering Phases; 5. Non-Coulomb Field; 6. Coulomb Field; 7. Scattering of Identical Particles; 8. Use of Variation Methods in the Solution of Scattering Problems; 9. Scattering by a Spin Dependent Interaction; 10. General Collision Theory; 11. Inelastic Collisions; 12. Application of Quantum Collision Theory to the Scattering of Electrons by Atoms; 13. Application of Quantum Collision Theory to Problems of Nuclear Physics; REFERENCES; Author Index.
Series Title: Pure and applied physics, Volume 10.
Responsibility: edited by D.R. Bates.

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