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Produktbild: Foundations of Quantum Mechanics

Foundations of Quantum Mechanics

Aus der Reihe Theoretical and Mathematical Physics

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.04.2012

Verlag

Springer Berlin

Seitenzahl

416

Maße (L/B/H)

23,5/15,5/2,4 cm

Gewicht

657 g

Auflage

Softcover reprint of the original 1st ed. 1985

Übersetzt von

C.A. Hein

Sprache

Englisch

ISBN

978-3-642-86756-9

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.04.2012

Verlag

Springer Berlin

Seitenzahl

416

Maße (L/B/H)

23,5/15,5/2,4 cm

Gewicht

657 g

Auflage

Softcover reprint of the original 1st ed. 1985

Übersetzt von

C.A. Hein

Sprache

Englisch

ISBN

978-3-642-86756-9

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

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  • Produktbild: Foundations of Quantum Mechanics
  • (Volume II).- IX Representation of Hilbert Spaces by Function Spaces.- 1 Maximal Decision Observables.- 2 Representation of ? as ?2(Sp(A), ?) where Sp(A) is the Spectrum of a Scale Observable A.- 3 Improper Scalar and Vector Functions Defined on Sp(A).- 4 Transformation of One Representation into Another.- 5 Position and Momentum Representation.- 6 Degenerate Spectra.- X Equations of Motion.- 1 The Heisenberg Picture.- 2 The Schrödinger Picture.- 3 The Interaction Picture.- 4 Time Reversal Transformations.- XI The Spectrum of One-Electron Systems.- 1 The Effect of the Emission of a Photon.- 2 Ensembles Consisting of Bound States.- 3 The Spectrum of Hydrogen-like Atoms.- 4 The Eigenfunctions for the Discrete Spectrum.- 5 The Continuous Spectrum.- 6 Perturbation Theory.- 7 Perturbation Computations and Symmetry.- 8 The Spectrum of Alkali Atoms.- 9 Electron Spin.- 10 Addition of Angular Momentum.- 11 Fine Structure of Hydrogen and Alkali Metals.- XII Spectrum of Two-Electron Systems.- 1 The Hilbert Space and the Hamiltonian Operator for the Internal Motion of Atoms with n Electrons.- 2 The Spectrum of Two-Electron Atoms.- 3 Ritz Variational Principle.- 4 The Fine Structure of the Helium Spectrum.- XIII Selection Rules and the Intensity of Spectral Lines.- 1 Intensity of Spectral Lines.- 2 Representation Theory and Matrix Elements.- 3 Selection Rules for One-Electron Spectra.- 4 Selection Rules for the Helium Spectrum.- XIV Spectra of Many-Electron Systems.- 1 Energy Terms in the Absence of Spin.- 2 Fine Structure Splitting of Spectral Lines.- 3 Structure Principles.- 4 The Periodic System of the Elements.- 5 Selection and Intensity Rules.- 6 Zeeman Effect.- 7 f Electron Problems and the Symmetric Group.- 8 The Characters for the Representations of Sf and Un.- 9 Perturbation Computations.- XV Molecular Spectra and the Chemical Bond.- 1 The Hamiltonian Operator for a Molecule.- 2 The Form of the Eigenfunctions.- 3 The Ionized Hydrogen Molecule.- 4 Structure Principles for Molecular Energy Levels.- 5 Formation of a Molecule from Two Atoms.- 6 The Hydrogen Molecule.- 7 The Chemical Bond.- 8 Spectra of Diatomic Molecules.- 9 The Effect of Electron Spin on Molecular Energy Levels.- XVI Scattering Theory.- 1 General Properties of Ensembles Used in Scattering Experiments.- 2 General Properties of Effects Used in Scattering Experiments.- 3 Separation of Center of Mass Motion.- 4 Wave Operators and the Scattering Operator.- 4.1 Definition of the Wave Operators.- 4.2 Some General Properties of Wave Operators.- 4.3 Wave Operators and the Spectral Representation of the Hamiltonian Operators.- 4.4 The S Operator.- 4.5 A Sufficient Condition for the Existence of Normal Wave Operators.- 4.6 The Existence of Complete Wave Operators.- 4.7 Stationary Scattering Theory.- 4.8 Scattering of a Pair of Identical Elementary Systems.- 4.9 Multiple-Channel Scattering Theory.- 5 Examples of Wave Operators and Scattering Operators.- 5.1 Scattering of an Elementary System of Spin $$ \frac{1}{2} $$ by an Elementary System of Spin 0.- 5.2 The Born Approximation.- 5.3 Scattering of an Electron by a Hydrogen Atom.- 6 Examples of Registrations in Scattering Experiments.- 6.1 The Effect of the “Impact” of a Microsystem on a Surface.- 6.2 Counting Microsystems Scattered into a Solid Angle.- 6.3 The Scattering Cross Section.- 7 Survey of Other Problems in Scattering Theory.- XVII The Measurement Process and the Preparation Process.- 1 The Problem of Consistency.- 2 Measurement Scattering Processes.- 2.1 Measurement with a Microscope.- 2.2 Measurement Scattering Morphisms.- 2.3 Properties of Measurement Scattering Morphisms.- 3 Measurement Transformations.- 3.1 Measurement Transformation Morphisms.- 3.2 Properties of Measurement Transformation Morphisms.- 4 Transpreparations.- 4.1 Reduction of a Preparation Procedure by Means of a Registration Procedure.- 4.2 Transpreparation by Means of Scattering.- 4.3 Collapse of Wave Packets?.- 4.4 The Einstein-Podolski-Rosen Paradox.- 5 Measurements of the First Kind.- 6 The Physical Importance of Scattering Processes Used for Registration and Preparation.- 6.1 Sequences of Measurement Scatterings and Measurement Transformations.- 6.2 Physical Importance of Measurement Scattering and Measurement Transformations.- 6.3 Chains of Transpreparations.- 6.4 The Importance of Transpreparators for the Preparation Process.- 6.5 Unstable States.- 7 Complex Preparation and Registration Processes.- XVIII Quantum Mechanics, Macrophysics and Physical World Views.- 1 Universality of Quantum Mechanics?.- 2 Macroscopic Systems.- 3 Compatibility of the Measurement Process with Preparation and Registration Procedures.- 4 “Point in Time” of Measurement in Quantum Mechanics?.- 5 Relationships Between Different Theories and Quantum Mechanics.- 6 Quantum Mechanics and Cosmology.- 7 Quantum Mechanics and Physical World Views.- Appendix V Groups and Their Representations.- 1 Groups.- 2 Cosets and Invariant Subgroups.- 3 Isomorphisms and Homomorphisms.- 4 Isomorphism Theorem.- 5 Direct Products.- 6 Representations of Groups.- 7 The Irreducible Representations of a Finite Group.- 8 Orthogonality Relations for the Elements of Irreducible Representation Matrices.- 9 Representations of the Symmetric Group.- 10 Topological Groups.- 10.1 The Species of Structure: Topological Group.- 10.2 Uniform Structures of Groups.- 10.3 Lie Groups.- 10.4 Representations of Topological Groups.- 10.5 Group Rings of Compact Lie Groups.- 10.6 Representations in Hilbert Space.- 10.7 Representations up to a Factor.- References.