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Quantum Theory for Mathematicians

BuchGebunden
554 Seiten
Englisch
Springererschienen am19.06.2013
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory;mehr
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BuchGebunden
EUR37,44
BuchKartoniert, Paperback
EUR40,65
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Produkt

KlappentextAlthough ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory;
ZusammenfassungThis book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into key topics.
Details
ISBN/GTIN978-1-4614-7115-8
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2013
Erscheinungsdatum19.06.2013
ReiheGraduate Texts in Mathematics
Seiten554 Seiten
SpracheEnglisch
Gewicht984 g
IllustrationenXVI, 554 p. 30 illus., 2 illus. in color.
Artikel-Nr.15358645

Inhalt/Kritik

Inhaltsverzeichnis
1 The Experimental Origins of Quantum Mechanics.- 2 A First Approach to Classical Mechanics.- 3 A First Approach to Quantum Mechanics.- 4 The Free Schrödinger Equation.- 5 A Particle in a Square Well.- 6 Perspectives on the Spectral Theorem.- 7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements.- 8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs.- 9 Unbounded Self-Adjoint Operators.- 10 The Spectral Theorem for Unbounded Self-Adjoint Operators.- 11 The Harmonic Oscillator.- 12 The Uncertainty Principle.- 13 Quantization Schemes for Euclidean Space.- 14 The Stone-von Neumann Theorem.- 15 The WKB Approximation.- 16 Lie Groups, Lie Algebras, and Representations.- 17 Angular Momentum and Spin.- 18 Radial Potentials and the Hydrogen Atom.- 19 Systems and Subsystems, Multiple Particles.- V Advanced Topics in Classical and Quantum Mechanics.- 20 The Path-Integral Formulation of Quantum Mechanics.- 21 Hamiltonian Mechanics on Manifolds.- 22 Geometric Quantization on Euclidean Space.- 23 Geometric Quantization on Manifolds.- A Review of Basic Material.- References.â- Index.mehr

Autor

Brian C. Hall is a Professor of Mathematics at the University of Notre Dame.
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Hall, Brian C.