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941por Dick, Rainer“…Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. …”
Publicado 2012
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942por Wahde, M“…The advent of rapid, reliable and cheap computing power over the last decades has transformed many, if not most, fields of science and engineering. The multidisciplinary field of optimization is no exception. …”
Publicado 2008
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943por Iwasawa, Kenkichi“…In the final chapter, Iwasawa elegantly explains some important classical results, such as the distribution of prime ideals and the class number formulae for cyclotomic fields.…”
Publicado 2019
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944“…Quantum mechanics is certainly one of the most fascinating field of physics. In recent years, the new field of "quantum information processing" based on the most fundamental aspect of quantum mechanics, like linearity and entanglement, even increased and its peculiarities. …”
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945“…The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. …”
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946por Craig, Walter“…These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. …”
Publicado 2008
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947“…Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. …”
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948“…Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch–Zagier divisors. …”
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949“…This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov–Bernoulli (non)equivalence problem, and presents recent results in this field. …”
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950por Eisner, Tanja“…We also connect stability in operator theory to its analogues in ergodic theory and harmonic analysis. …”
Publicado 2010
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951por Deo, Satya“…Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces. …”
Publicado 2018
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952“…Groups and Manifolds is an introduction to the mathematics of symmetry with a variety of examples for physicists. It covers both classical symmetry as seen in crystallography as well as the mathematical concepts used in super-symmetric field theories. …”
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953por Smilga, A V“…So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap. …”
Publicado 2020
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954por Kamada, Seiichi“…This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field. Knot theory is one of the most active research fields in modern mathematics. …”
Publicado 2017
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955por Pocheć, Michał, Krupka, Katarzyna M., Panek, Jarosław J., Orzechowski, Kazimierz, Jezierska, Aneta“…Special attention was paid to the vibrational features associated with the O-H stretching and the isotope effect. Density Functional Theory (DFT) in its classical formulations was applied to develop static models describing intermolecular hydrogen bond (HB) and isotope effect in the gas phase and using solvent reaction field reproduced by Polarizable Continuum Model (PCM). …”
Publicado 2022
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956“…Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics, quantum mechanics, classical and quantum field theory, special and general theory of relativity, etc. …”
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957“…In our proposed framework, the total field in the outer medium is decomposed in terms of inward and outward electromagnetic fields, rather than in terms of incident and scattered fields, as in the classical Lorenz–Mie formulation. …”
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958por Dick, Rainer“…Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. …”
Publicado 2020
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959“…To build models that fulfil these properties, we classify 4-dimensional Quantum Field Theories that satisfy Total Asymptotic Freedom (TAF): the theory holds up to infinite energy, where all coupling constants flow to zero. …”
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960por Pauli, Wolfgang“…He writes that equations which cannot be derived from a variation principle must fail in the end, both in the mechanics of points and in classical field theory. He speaks about a book by Jordan and he speculates on the origin of life. …”
Publicado 2001
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