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Author:   Brian C. Hall
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2013
Volume:   267
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   0.866kg
ISBN:  

9781489993625

ISBN 10:   1489993622
Pages:   554
Publication Date:   15 July 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

From the reviews: There are a few textbooks on quantum theory for mathematicians who are alien to the physical culture ... but this modest textbook will surely find its place. All in all, the book is well written and accessible to any interested mathematicians and mathematical graduates. (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)

This book is an introduction to quantum mechanics intended for mathematicians and mathematics students who do not have a particularly strong background in physics. ... A well-qualified graduate student can learn a lot from this book. I found it to be clear and well organized, and I personally enjoyed reading it very much. (David S. Watkins, SIAM Review, Vol. 57 (3), September, 2015) This textbook is meant for advanced studies on quantum mechanics for a mathematical readership. The exercises at the end of each chapter make the book especially valuable. (A. Winterhof, Internationale Mathematischen Nachrichten, Issue 228, 2015) There are a few textbooks on quantum theory for mathematicians who are alien to the physical culture ... but this modest textbook will surely find its place. All in all, the book is well written and accessible to any interested mathematicians and mathematical graduates. (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)

This book is an introduction to quantum mechanics intended for mathematicians and mathematics students who do not have a particularly strong background in physics. ... A well-qualified graduate student can learn a lot from this book. I found it to be clear and well organized, and I personally enjoyed reading it very much. (David S. Watkins, SIAM Review, Vol. 57 (3), September, 2015) This textbook is meant for advanced studies on quantum mechanics for a mathematical readership. The exercises at the end of each chapter make the book especially valuable. (A. Winterhof, Internationale Mathematischen Nachrichten, Issue 228, 2015) There are a few textbooks on quantum theory for mathematicians who are alien to the physical culture ... but this modest textbook will surely find its place. All in all, the book is well written and accessible to any interested mathematicians and mathematical graduates. (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)

Author Information

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

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