Yngvason Jakob's Books

Boltzmann's Legacy

By: Jakob Yngvason

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Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.

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Page Count

288

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190574

ISBN 13

9783037190579

Waves And Distributions

By: Thordur Jonsson,Jakob Yngvason

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Waves And Distributions

By: Thordur Jonsson,Jakob Yngvason

This book begins with an introduction on continuum mechanics and a derivation of the linear partial differential equations for sound waves in fluids and elastic waves in solids. There is a brief chapter on the wave equations of electrodynamics. This is followed by a description of plane wave solutions and a discussion of concepts like reflection, refraction, polarization and the role of boundary conditions.The second part of the book deals with the theory and applications of distributions and Fourier transforms. Furthermore, dispersion, the method of stationary phase, Kramers-Kronig relations and various examples including surface waves on liquids are discussed.This text is unique because it emphasizes the use of distributions to analyze the solutions of the wave equation. The treatment of continuum mechanics is self-contained, as well as the discussion on distributions and Fourier transforms. In addition, many classical methods of theoretical physics are thoroughly discussed, e.g. the use of Green functions and multipole expansions.

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Page Count

203

Publisher

World Scientific

Published Date

ISBN 10

981310452X

ISBN 13

9789813104525

The Mathematics of the Bose Gas and its Condensation

By: Elliott H. Lieb,Robert Seiringer,Jan Philip Solovej,Jakob Yngvason

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The Mathematics of the Bose Gas and its Condensation

By: Elliott H. Lieb,Robert Seiringer,Jan Philip Solovej,Jakob Yngvason

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

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Page Count

204

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764373377

ISBN 13

9783764373375

Erwin Schrödinger

50 Years After

By: Jakob Yngvason

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Erwin Schrödinger

50 Years After

By: Jakob Yngvason

Erwin Schrodinger (1887-1961) was an Austrian physicist famous for the equation named after him and which earned him the Nobel Prize in 1933. This book contains lectures presented at the international symposium ``Erwin Schrodinger --50 Years After'', held at the Erwin Schrodinger International Institute for Mathematical Physics in January 2011 to commemorate the 50th anniversary of Schrodinger's death. The text covers a broad spectrum of topics ranging from personal reminiscences to foundational questions about quantum mechanics and historical accounts of Schrodinger's work. Besides the lectures presented at the symposium the volume also contains articles specially written for this occasion. The contributions give an overview of Schrodinger's legacy to the sciences from the standpoint of some contemporary leading scholars in the field.

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