Quantum Mechanics I (Theoretical and Mathematical Physics) - hardcover

EAN (ISBN-13): 9783540514060
ISBN (ISBN-10): 3540514066
Hardcover
Paperback
Publishing year: 1990
Publisher: Springer

Book in our database since 2007-06-15T17:22:04+01:00 (London)
Detail page last modified on 2021-11-17T16:25:11+00:00 (London)
ISBN/EAN: 9783540514060

ISBN - alternate spelling:
3-540-51406-6, 978-3-540-51406-0
Alternate spelling and related search-keywords:
Book author: galindo pascual, galindo alberto
Book title: quantum mechanics, monographs, theoretical physics

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Information from Publisher

Author: Alberto Galindo; Pedro Pascual
Title: Theoretical and Mathematical Physics; Quantum Mechanics I
Publisher: Springer; Springer Berlin
417 Pages
Publishing year: 1990-10-17
Berlin; Heidelberg; DE
Translator: J.D. Garcia; L. Alvarez-Gaume (Spanish)
Weight: 0,775 kg
Language: English
85,55 € (DE)
87,95 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); Verstehen; collision; quantum mechanics; scattering; scattering theory; particles; B; Quantum Physics; Physics and Astronomy; Atomic, Molecular, Optical and Plasma Physics; Theoretical and Computational Chemistry; Physical Chemistry; Quantum Information Technology, Spintronics; Atom- und Molekularphysik; Quanten- und theoretische Chemie; Physikalische Chemie; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); BC; EA

1. The Physical Basis of Quantum Mechanics.- 1.1 Introduction.- 1.2 The Blackbody.- 1.3 The Photoelectric Effect.- 1.4 The Compton Effect.- 1.5 Light: Particle or Wave?.- 1.6 Atomic Structure.- 1.7 The Sommerfeld-Wilson-Ishiwara (SWI) Quantization Rules.- 1.8 Fine Structure.- 1.9 The Zeeman Effect.- 1.10 Successes and Failures of the Old Quantum Theory.- 1.11 Matter Waves.- 1.12 Wave Packets.- 1.13 Uncertainty Relations.- 2. The Postulates of Quantum Mechanics.- 2.1 Introduction.- 2.2 Pure States.- 2.3 Observables.- 2.4 Results of Measurements.- 2.5 Uncertainty Relations.- 2.6 Complete Sets of Compatible Observables.- 2.7 Density Matrix.- 2.8 Preparations and Measurements.- 2.9 Schrodinger Equation.- 2.10 Stationary States and Constants of the Motion.- 2.11 The Time-Energy Uncertainty Relation.- 2.12 Quantization Rules.- 2.13 The Spectra of the Operators X and P.- 2.14 Time Evolution Pictures.- 2.15 Superselection Rules.- 3. The Wave Function.- 3.1 Introduction.- 3.2 Wave Functions.- 3.3 Position and Momentum Representations.- 3.4 Position-Momentum Uncertainty Relations.- 3.5 Probability Density and Probability Current Density.- 3.6 Ehrenfest’s Theorem.- 3.7 Propagation of Wave Packets (I).- 3.8 Wave Packet Propagation (II).- 3.9 The Classical Limit of the Schrödinger Equation.- 3.10 The Virial Theorem.- 3.11 Path Integration.- 4. One-Dimensional Problems.- 4.1 Introduction.- 4.2 The Spectrum of H.- 4.3 Square Wells.- 4.4 The Harmonic Oscillator.- 4.5 Transmission and Reflection Coefficients.- 4.6 Delta Function Potentials.- 4.7 Square Potentials.- 4.8 Periodic Potentials.- 4.9 Inverse Spectral Problem.- 4.10 Mathematical Conditions.- 5. Angular Momentum.- 5.1 Introduction.- 5.2 The Definition of Angular Momentum.- 5.3 Eigenvalues of Angular Momentum Operators.- 5.4 Orbital Angular Momentum.- 5.5 Angular Momentum Uncertainty Relations.- 5.6Matrix Representations of the Rotation Operators.- 5.7 Addition of Angular Momenta.- 5.8 Clebsch-Gordan Coefficients.- 5.9 Irreducible Tensors Under Rotations.- 5.10 Helicity.- 6. Two-Particle Systems: Central Potentials.- 6.1 Introduction.- 6.2 The Radial Equation.- 6.3 Square Wells.- 6.4 The Three-Dimensional Harmonic Oscillator.- 6.5 The Hydrogen Atom.- 6.6 The Hydrogen Atom: Corrections.- 6.7 Accidental Degeneracy.- 6.8 The Hydrogen Atom: Parabolic Coordinates.- 6.9 Exactly Solvable Potentials for s-Waves.- 7. Symmetry Transformations.- 7.1 Introduction.- 7.2 Symmetry Transformations: Wigner’s Theorem.- 7.3 Transformation Properties of Operators.- 7.4 Symmetry Groups.- 7.5 Space Translations.- 7.6 Rotations.- 7.7 Parity.- 7.8 Time Reversal.- 7.9 Invariances and Conservation Laws.- 7.10 Invariance Under Translations.- 7.11 Invariance Under Rotations.- 7.12 Invariance Under Parity.- 7.13 Invariance Under Time Reversal.- 7.14 Galilean Transformations.- 7.15 Isospin.- Appendix A: Special Functions.- A.1 Legendre Polynomials.- A.2 Associated Legendre Functions.- A.3 Spherical Harmonics.- A.4 Hermite Polynomials.- A.5 Laguerre Polynomials.- A.6 Generalized Laguerre Polynomials.- A.7 The Euler Gamma Function.- A.8 Bessel Functions.- A.9 Spherical Bessel Functions.- A.10 Confluent Hypergeometric Functions.- A.11 Coulomb Wave Functions.- Appendix B: Angular Momentum.- B.1 Angular Momentum.- B.2 Matrix Representation of the Rotation Operators.- B.3 Clebsch-Gordan Coefficients.- B.4 Racah Coefficients.- B.5 Irreducible Tensors.- B.6 Irreducible Vector Tensors.- B.7 Tables of Clebsch-Gordan and Racah Coefficients.- Appendix C: Summary of Operator Theory.- C.1 Notation and Basic Definitions.- C.2 Symmetric, Self-Adjoint, and Essentially Self-Adjoint Operators.- C.3 Spectral Theory of Self-Adjoint Operators.- C.4 The Spectrum of a Self-Adjoint Operator.- C.5 One-Parameter Unitary Groups.- C.6 Quadratic Forms.- C.7 Perturbation of Self-Adjoint Operators.- C.8 Perturbation of Semi-Bounded Self-Adjoint Forms.- C.9 Min-Max Principle.- C.10 Direct Integrals in Hilbert Spaces.- Appendix D: Elements of the Theory of Distributions.- D.1 Spaces of Test Functions.- D.2 Concept of a Distribution or Generalized Function.- D.3 Operations with Distributions..- D.4 Examples of Distributions.- D.5 Fourier Transformation.- Appendix E: On the Measurement Problem Quantum Mechanics.- E.1 Types of Evolution.- E.2 Sketch of a Measurement Process.- E.3 Solutions to the Dilemma.- Appendix F: Models for Hidden Variables. (A Summary.- F.1 Motivation.- F.2 Impossibility Theorems.- F.3 Hidden Variables of the First Kind and of the Second Kind (or Local Hidden Variables).- F.4 Conclusions.- Appendix G: Properties of Certain Antiunitary Operators.- G.1 Definitions and Basic Properties.- of Quantum Mechanics II.
This is a textbook on non-relativistic quantum mechanics that emphasizes clarification of the nature of the basic postulates and the interpretation of the theory. It contains special material, often only accessible in scientific journals, on bound states, scattering theory, and both analytical and approximation techniques. Applications to many branches of physics are given. The book is a considerably improved and completely updated English translation of a very successful Spanish textbook and is aimed at students in their second year of university.