Covariance and Gauge Invariance in Continuum Physics
Covariance and Gauge Invariance in Continuum Physics

Author: Lalaonirina R. Rakotomanana

Publisher: Springer

Published: 2018-07-04

Total Pages: 332

ISBN-13: 331991782X

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This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method. Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.

Theory And Experiment Heading For New Physics, Procs Of The Int'l Sch Of Subnuclear Physics
Theory And Experiment Heading For New Physics, Procs Of The Int'l Sch Of Subnuclear Physics

Author: Antonino Zichichi

Publisher: World Scientific

Published: 2002-01-30

Total Pages: 690

ISBN-13: 9814489719

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In August/September 2000, a group of 80 physicists from 53 laboratories in 15 countries met in Erice, Italy, to participate in the 38th Course of the International School of Subnuclear Physics. This book constitutes the proceedings of that meeting. It focuses on the theoretical investigation of several basic unity issues, including: (1) the understanding of gauge theories in both their continuum and lattice versions; (2) the possible existence and relevance of large extra dimensions together with the resultant lowering of the Planck/string scale to the TeV range; (3) the origin and structure of flavour mixing in the quark and lepton (neutrino) sectors.

Proceedings of the International Workshop on Frontiers of Theoretical Physics
Proceedings of the International Workshop on Frontiers of Theoretical Physics

Author: F. Sakata

Publisher: World Scientific

Published: 2001

Total Pages: 300

ISBN-13: 9789812810380

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At the crossing of centuries, it is very important to review the main problems and research in theoretical physics. This was the purpose of the International Workshop on Frontiers of Theoretical Physics, allowing the interchange of ideas among people with different expertise. The proceedings can be divided into two parts: (1) general view talks about string, particle physics, nuclear physics, etc. given by Profs. T Yoneya, M Kobayazhi, A Sanda, Z Li and F Sakata; (2) research related to many important fields, such as quantum field theory, string theory, particle physics, condensed matter physics, nuclear physics and mathematical physics. Contents: Aspects of Current Particle Physics (M Kobayashi); CP Violation Past, Present and Future (A I Sanda); Nonlinear Science in Nuclear Physics (F Sakata); String Theory OCo Where are We Now? (T Yoneya); The Descent Equation of Noncommutative Differential Geometry on Lattice (K Wu); Supersymmetry for Flavors (C Liu); Quantization on Manifolds and Induced Gauge Potentials (Y Ohnuki); Chiral Lagrangian in QCD (Q Wang & Z-M Wang); and other papers. Readership: Graduate students and researchers in theoretical physics."

Bit-string Physics: A Finite & Discrete Approach To Natural Philosophy
Bit-string Physics: A Finite & Discrete Approach To Natural Philosophy

Author: Henry Pierre Noyes

Publisher: World Scientific

Published: 2001-09-06

Total Pages: 589

ISBN-13: 9814491101

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We could be on the threshold of a scientific revolution. Quantum mechanics is based on unique, finite, and discrete events. General relativity assumes a continuous, curved space-time. Reconciling the two remains the most fundamental unsolved scientific problem left over from the last century. The papers of H Pierre Noyes collected in this volume reflect one attempt to achieve that unification by replacing the continuum with the bit-string events of computer science. Three principles are used: physics can determine whether two quantities are the same or different; measurement can tell something from nothing; this structure (modeled by binary addition and multiplication) can leave a historical record consisting of a growing universe of bit-strings. This book is specifically addressed to those interested in the foundations of particle physics, relativity, quantum mechanics, physical cosmology and the philosophy of science.

Variational Principles and Methods in Theoretical Physics and Chemistry
Variational Principles and Methods in Theoretical Physics and Chemistry

Author: Robert K. Nesbet

Publisher: Cambridge University Press

Published: 2002-11-14

Total Pages: 245

ISBN-13: 1139435698

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This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry.