| eBook ISBN: | 978-0-8218-8208-5 |
| Product Code: | CONM/529.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8208-5 |
| Product Code: | CONM/529.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 529; 2010; 202 ppMSC: Primary 15; 47; 81; 82; 94
These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school “Entropy and the Quantum”, which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses.
ReadershipGraduate students and research mathematicians interested in mathematical aspects of quantum physics.
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Table of Contents
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Articles
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William G. Faris — Outline of quantum mechanics [ MR 2681767 ]
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Robert Seiringer — Inequalities for Schrödinger operators and applications to the stability of matter problem [ MR 2681768 ]
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Eric Carlen — Trace inequalities and quantum entropy: an introductory course [ MR 2681769 ]
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Bruno Nachtergaele and Robert Sims — Lieb-Robinson bounds in quantum many-body physics [ MR 2681770 ]
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Christopher King — Remarks on the additivity conjectures for quantum channels [ MR 2681771 ]
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Christian Hainzl — On the static and dynamical collapse of white dwarfs [ MR 2681772 ]
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Additional Material
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These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school “Entropy and the Quantum”, which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses.
Graduate students and research mathematicians interested in mathematical aspects of quantum physics.
-
Articles
-
William G. Faris — Outline of quantum mechanics [ MR 2681767 ]
-
Robert Seiringer — Inequalities for Schrödinger operators and applications to the stability of matter problem [ MR 2681768 ]
-
Eric Carlen — Trace inequalities and quantum entropy: an introductory course [ MR 2681769 ]
-
Bruno Nachtergaele and Robert Sims — Lieb-Robinson bounds in quantum many-body physics [ MR 2681770 ]
-
Christopher King — Remarks on the additivity conjectures for quantum channels [ MR 2681771 ]
-
Christian Hainzl — On the static and dynamical collapse of white dwarfs [ MR 2681772 ]
