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Hilbert Space Operators in Quantum Physics

Aus der Reihe Theoretical and Mathematical Physics
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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.10.2010

Verlag

Springer Netherland

Seitenzahl

664

Maße (L/B/H)

23,5/15,5/3,7 cm

Gewicht

1019 g

Auflage

Second Edition 2008

Sprache

Englisch

ISBN

978-90-481-8012-7

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.10.2010

Verlag

Springer Netherland

Seitenzahl

664

Maße (L/B/H)

23,5/15,5/3,7 cm

Gewicht

1019 g

Auflage

Second Edition 2008

Sprache

Englisch

ISBN

978-90-481-8012-7

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Hilbert Space Operators in Quantum Physics
  • Produktbild: Hilbert Space Operators in Quantum Physics
  • Preface to the second edition, Preface,.
    1.Some notions from functional analysis,Vector and normed spaces,1.2 Metric and topological spaces,1.3 Compactness, 1.4 Topological vector spaces, 1.5 Banach spaces and operators on them, 1.6 The principle of uniform boundedness, 1.7 Spectra of closed linear operators, Notes to Chapter 1, Problems
    2. Hilbert spaces, 2.1 The geometry of Hilbert spaces, 2.2 Examples, 2.3 Direct sums of Hilbert spaces, 2.4 Tensor products, 2.4 Notes to Chapter 2, Problems
    3. Bounded operators, 3.1 Basic notions, 3.2 Hermitean operators, 3.3 Unitary and isometric operators, 3.4 Spectra of bounded normal operators, 3.5 Compact operators, 3.6 Hilbert-Schmidt and trace-class operators, Notes to Chapter 3, Problems
    4. Unbounded operators, 4.1 The adjoint, 4.2 Closed operators, 4.3 Normal operators. Self-adjointness, 4.4 Reducibility. Unitary equivalence, 4.5 Tensor products, 4.6 Quadratic forms, 4.7 Self-adjoint extensions, 4.8 Ordinary differential operators, 4.9 Self-adjoint extensions of differential operators, Notes to Chapter 4, Problems
    5. Spectral Theory , 5.1 Projection-valued measures, 5.2 Functional calculus, 5.3 The spectral Tudorem, 5.4 Spectra of self-adjoint operators, 5.5 Functions of self-adjoint operators, 5.6 Analytic vectors, 5.7 Tensor products, 5.8 Spectral representation, 5.9 Groups of unitary operators, Notes to Chapter 5, Problems
    6. Operator sets and algebra, 6.1 C^*-algebras, 6.2 GNS construction, 6.3 W^*-algebras, 6.4 Normal states on W^*-algebras, 6.5 Commutative symmetric operator sets, 6.6 Complete sets of commuting operators, 6.7 Irreducibility. Functions of non-commuting operators, 6.8 Algebras of unbounded operators, Notes to Chapter 6, Problems
    7. States and observables, 7.1 Basic postulates, 7.2 Simple examples, 7.3 Mixed states, 7.4 Superselection rules, 7.5 Compatibility, 7.6 The algebraic approach, Notes to Chapter 7, Problems
    8. Position and momentum, 8.1 Uncertainty relations, 8.2 The canonical commutation relations, 8.3 The classical limit and quantization, Notes to Chapter 8, Problems
    9. Time evolution, 9.1 The fundamental postulate, 9.2 Pictures of motion, 9.3 Two examples, 9.4 The Feynman integral, 9.5 Nonconservative systems, 9.6 Unstable systéme, Notes to Chapter 9, Problems
    10. Symmetries of quantum systéme, 10.1 Basic notions, 10.2 Some examples, 10.3 General space-time transformations, Notes to Chapter 10, Problems
    11. Composite systems, 11.1 States and observables, 11.2 Reduced states, 11.3 Time evolution, 11.4 Identical particles, 11.5 Separation of variables. Symmetries, Notes to Chapter 11, Problems
    12. The second quantization, 12.1 Fock spaces, 12.2 Creation and annihilation operators, 12.3 Systems of noninteracting particles, Notes to Chapter 12, Problems
    13. Axiomatization of quantum theory, 13.1 Lattices of propositions, 13.2 States on proposition systems, 13.3 Axioms for quantum field theory, Notes to Chapter 13, Problems
    14. Schrödinger operators, 14.1 Self-adjointness, 14.2 The minimax principle. Analytic perturbations, 14.3 The discrete spectrum, 14.4 The essential spectrum, 14.5 Constrained motion, 14.6 Point and contact interactions, Notes to Chapter 14, Problem
    15. Scattering theory, 15.1 Basic notions ,15.2 Existence of wave operators, 15.3 Potential scattering, 15.4 A model of two-channel scattering, Notes to Chapter 15, Problems
    16. Quantum waveguides, 16.1 Geometric effects in Dirichlet stripes, 16.2 Point