This respected high-level text is aimed at students and professionals working on random processes in various areas, including physics and finance. The first author, Melvin Lax (1922-2002) was a distinguished Professor of Physics at City College of New York and a member of the U. S. National Academy of Sciences, and is widely known for his contributions to our understanding of random processes in physics. Most chapters of this book are outcomes of the class notes which Lax taught at the City University of New York from 1985 to 2001. The material is unique as it presents the theoretical framework of Lax's treatment of random processes, from basic probability theory to Fokker-Planck and Langevin Processes, and includes diverse applications, such as explanations of very narrow laser width, analytical solutions of the elastic Boltzmann transport equation, and a critical viewpoint of mathematics currently used in the world of finance.

Random Processes in Physics and Finance (Oxford Finance Series)

Business & Money

Lax, Melvin

Cai, Wei

Xu, Min

Finance

Oxford University Press

This text is aimed at professionals and students working on random processes in various areas, including physics and finance. The first author, Melvin Lax (1922-2002), was a distinguished Professor of Physics at City College of New York and a member of the U. S. National Academy of Sciences, widely known for his contribution on random processes in physics. Most chapters of this book are the outcome of the class notes which Lax taught at the City University of New York from 1985 to 2001. The material is unique as it presents the theoretical framework of Lax's treatment of random processes, starting from basic probability theory, to Fokker-Planck and Langevin Processes, and includes diverse applications, such as explanation of very narrow laser width and analytical solution of the elastic Boltzmann transport equation. Lax's critical viewpoint on mathematics currently used in the financial world is also presented in this book.

This respected high-level text, aimed at professionals and students working on the theory of solids, is particularly valuable for its application of group theory to solid state and molecular physics. The author — Distinguished Professor of Physics at City College of New York, widely known for his work in optics, lasers, and solid-state physics — devotes the first three chapters to a distillation of the most relevant ideas and theorems of group theory (at the group point level) and then leads readers directly into group theory applications. Professor Lax provides examples in optical absorption selection rules, spin-orbit coupling, and crystal field theory, plus a complete demonstration of projection techniques. He also develops short-cut and invariant methods for solving molecular vibration problems and for determining the form of crystal tensors; develops the translational properties of crystals, including Bravais lattices and space groups; and explains relevant applications to electron phonon scattering, optical absorption selection rules, electronic energy bands, electron dynamics, and effective Hamiltonians. To illustrate several of these topics, and to show the relation between the microscopic and macroscopic views of elasticity, the author presents a complete study of the diamond structure. Among the unique features of this volume are its use of subgroup techniques, its consideration of the influence of time reversal on selection rules, its use of shell theorems and invariance techniques to construct the form of tensors, and its use of broken symmetry to relate the symmetry of valence and molecular orbitals to the symmetry of electron molecular wave functions. The book also contains more than 200 carefully selected problems.

Symmetry Principles in Solid State and Molecular Physics (Dover Books on Physics)

Science & Math

Physics

Dover Publications

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