Mathematical Physics And Its Interactions
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| Author | : Elliott H. Lieb |
| Publisher | : Academic Press |
| Total Pages | : 580 |
| Release | : 2013-09-17 |
| Genre | : Science |
| ISBN | : 1483218562 |
Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.
| Author | : Shuji Machihara |
| Publisher | : Springer Nature |
| Total Pages | : 413 |
| Release | : |
| Genre | : |
| ISBN | : 9819703646 |
| Author | : F. Iachello |
| Publisher | : Cambridge University Press |
| Total Pages | : 328 |
| Release | : 2005-11-03 |
| Genre | : Science |
| ISBN | : 9780521021647 |
This book describes the mathematical framework on which the interacting boson-fermion model is built and presents applications to a variety of situations encountered in nuclei. It addresses both the analytical and the numerical aspects of the problem. The analytical aspect requires the introduction of rather complex group theoretic methods, including the use of graded (or super) Lie algebras. The first (and so far only) example of supersymmetry occurring in nature is also discussed.
| Author | : Sadri Hassani |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1052 |
| Release | : 2002-02-08 |
| Genre | : Science |
| ISBN | : 9780387985794 |
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
| Author | : Sadri Hassani |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 673 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 038721562X |
Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
| Author | : National Research Council |
| Publisher | : National Academies Press |
| Total Pages | : 64 |
| Release | : 2012-08-02 |
| Genre | : Mathematics |
| ISBN | : 0309254736 |
The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.
| Author | : L. O'Raifeartaigh |
| Publisher | : Cambridge University Press |
| Total Pages | : 188 |
| Release | : 1986 |
| Genre | : Science |
| ISBN | : 9780521347853 |
The first portion of the text is devoted to a review of those aspects of Lie groups necessary for the application of group theory to the physics of particles and fields. The second describes the way in which compact Lie groups are used to construct gauge theories.
| Author | : Alessandro Michelangeli |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2022-02-05 |
| Genre | : Science |
| ISBN | : 9783030604554 |
Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range. Such a community is experiencing fruitful and inspiring exchanges with experimental and theoretical physicists. This volume reflects such spirit, with a diverse range of original contributions by experts, presenting an up-to-date collection of most relevant results and challenging open problems. It has been conceived with the deliberate two-fold purpose of serving as an updated reference for recent results, mathematical tools, and the vast related literature on the one hand, and as a bridge towards several key open problems that will surely form the forthcoming research agenda in this field.
| Author | : S.M. Blinder |
| Publisher | : Elsevier |
| Total Pages | : 426 |
| Release | : 2018-11-26 |
| Genre | : Science |
| ISBN | : 0128137010 |
Mathematical Physics in Theoretical Chemistry deals with important topics in theoretical and computational chemistry. Topics covered include density functional theory, computational methods in biological chemistry, and Hartree-Fock methods. As the second volume in the Developments in Physical & Theoretical Chemistry series, this volume further highlights the major advances and developments in research, also serving as a basis for advanced study. With a multidisciplinary and encompassing structure guided by a highly experienced editor, the series is designed to enable researchers in both academia and industry stay abreast of developments in physical and theoretical chemistry. - Brings together the most important aspects and recent advances in theoretical and computational chemistry - Covers computational methods for small molecules, density-functional methods, and computational chemistry on personal and quantum computers - Presents cutting-edge developments in theoretical and computational chemistry that are applicable to graduate students and research professionals in chemistry, physics, materials science and biochemistry
| Author | : Michael Stone |
| Publisher | : Cambridge University Press |
| Total Pages | : 821 |
| Release | : 2009-07-09 |
| Genre | : Science |
| ISBN | : 1139480618 |
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
