Mathematical methods in quantum mechanics : with applications to schrödinger operators

By: Gerald TeschlMaterial type: TextTextPublication details: Rhode, Island: American Mathematical Society, [c2014]Edition: 2nd EdDescription: 358 pISBN: 978-1-4704-1704-8Subject(s): MathematicsLOC classification: QA154.3
Contents:
Part 0. Preliminaries Chapter 0. A first look at Banach and Hilbert spaces Part 1. Mathematical foundations of quantum mechanics Chapter 1. Hilbert spaces Chapter 2. Self-adjointness and spectrum Chapter 3. The spectral theorem Chapter 4. Applications of the spectral theorem Chapter 5. Quantum dynamics Chapter 6. Perturbation theory for self-adjoint operators Part 2. Schrödinger operators Chapter 7. The free Schrödinger operator Chapter 8. Algebraic methods Chapter 9. One-dimensional Schrödinger operators Chapter 10. One-particle Schrödinger operators Chapter 11. Atomic Schrödinger operators Chapter 12. Scattering theory Part 3. Appendix Appendix A. Almost everything about Lebesgue integration
Summary: Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA154.3 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00950
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Part 0. Preliminaries
Chapter 0. A first look at Banach and Hilbert spaces

Part 1. Mathematical foundations of quantum mechanics
Chapter 1. Hilbert spaces
Chapter 2. Self-adjointness and spectrum
Chapter 3. The spectral theorem
Chapter 4. Applications of the spectral theorem
Chapter 5. Quantum dynamics
Chapter 6. Perturbation theory for self-adjoint operators

Part 2. Schrödinger operators
Chapter 7. The free Schrödinger operator
Chapter 8. Algebraic methods
Chapter 9. One-dimensional Schrödinger operators
Chapter 10. One-particle Schrödinger operators
Chapter 11. Atomic Schrödinger operators
Chapter 12. Scattering theory

Part 3. Appendix
Appendix A. Almost everything about Lebesgue integration

Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators. --- summary provided by publisher

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