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Quantum Theory for Mathematicians (Graduate Texts in Mathematics, 267, Band 267) - gebunden oder broschiert
2013, ISBN: 9781461471158
Springer, Gebundene Ausgabe, Auflage: 2013, 570 Seiten, Publiziert: 2013-06-19T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 30 black & white illustrations, 0.95 kg, Verkaufsrang: 75237… Mehr…
Hall, Brian C.:
Quantum Theory for Mathematicians (Graduate Texts in Mathematics, 267) - gebunden oder broschiert2013, ISBN: 9781461471158
Hard cover, Gebraucht, This is a USED book, it is subject to external and interior wear including, underlining, highlighting, annotations, water damage, minor scuffs and tears. This is a … Mehr…
2013
ISBN: 146147115X
Binding : Gebundene Ausgabe, Edition : 2013, Label : Springer, Publisher : Springer, PackageQuantity : 1, medium : Gebundene Ausgabe, numberOfPages : 554, publicationDate : 2013-07-01, au… Mehr…
2013, ISBN: 146147115X
[EAN: 9781461471158], Gebraucht, sehr guter Zustand, [PU: Springer], In Used Condition, Books
2013, ISBN: 146147115X
[EAN: 9781461471158], Gebraucht, sehr guter Zustand, [PU: Springer], Books
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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. This 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 such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone-von Neumann Theorem; the Wentzel-Kramers-Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics.
The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Detailangaben zum Buch - Quantum Theory for Mathematicians (Graduate Texts in Mathematics, 267, Band 267)
EAN (ISBN-13): 9781461471158
ISBN (ISBN-10): 146147115X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 201308
Herausgeber: Springer
554 Seiten
Gewicht: 0,975 kg
Sprache: Englisch
Buch in der Datenbank seit 2007-11-25T15:56:41+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-13T23:38:29+02:00 (Berlin)
ISBN/EAN: 9781461471158
ISBN - alternative Schreibweisen:
1-4614-7115-X, 978-1-4614-7115-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: brian hall, schrödinger, von neumann
Titel des Buches: quantum theory for mathematicians, graduate text mathematics, the graduate, graduate texts mathematics
Daten vom Verlag:
Autor/in: Brian C. Hall
Titel: Graduate Texts in Mathematics; Quantum Theory for Mathematicians
Verlag: Springer; Springer US
554 Seiten
Erscheinungsjahr: 2013-06-19
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
74,89 € (DE)
76,99 € (AT)
93,68 CHF (CH)
POD
XVI, 554 p. 30 illus., 2 illus. in color.
BB; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Mathematische Physik; Verstehen; Hilbert space; Lie groups; Stone-von Neumann theorem; WKB approximation; geometric quantization; quantum mechanics; spectral theorem; unbounded operators; Mathematical Physics; Quantum Physics; Functional Analysis; Topological Groups and Lie Groups; Mathematical Methods in Physics; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); Funktionalanalysis und Abwandlungen; Gruppen und Gruppentheorie; EA; BC
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.- Index.Explains physical ideas in the language of mathematics Provides a self-contained treatment of the necessary mathematics, including spectral theory and Lie theory Contains many exercises that will appeal to graduate students
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