Classical mechanics and symplectic geometryTheoretical equivalenceCommon definitional extensionDefinabilityLegendre transformationAs a prolegomenon to understanding the sense in which dualities are theoretical equivalences, we investigate the intuitive 'equivalence' of hyper-regular Lagrangian and Hamiltonian classical ...
Quantum Mechanics in Phase Space The basics of the Wigner formulation of Quantum-Mechanics and few related interpretational issues are presented in a simple language. This formulation has ... AM Nassimi - 《Physics》 被引量: 137发表: 2007年 Quantum Spacetime Fluctuations and Primary State ...
This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overvie...
Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mech...
Offers a unique and broad approach to mechanics, integrating linear algebra, analysis, and differential geometry Provides an illuminating historical perspective on the subject, including the models of Newton, Euler, Lagrange and Hamilton Gives a treatment of impulsive dynamics, rarely found elsewhere in...
In a classical analog of the Born approximation in quantum mechanics, the classical eikonal admits an expansion in oriented tree graphs, where oriented edges denote retarded/advanced worldline propagators. The Magnus expansion, which takes the log of a time-ordered exponential integral, offers an ...
Pearson Education - Classical Mechanics GoldsteinPooleSafkoHerbert Goldstein, P. Charles Poole, and John L. Safko. Pearson Education - Classical Mechanics. Pearson, 3rd edition, 2002. 41... Goldstein,Poole,Safko 被引量: 1发表: 2002年 Classical Mechanics GoldsteinPooleSafkoHerbert Goldstein, P. Cha...
Hamilton's principal function and extended phase space. How the Hamilton-Jacobi equa- tion foreshadows quantum mechanics. Week 8 (May 16, 18, 20)|Towards symplectic geometry. The canonical 1-form and the symplectic 2-form on the cotangent bundle. Hamilton's equations on a symplectic manifold....
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of ...
Unique in its scope of coverage and method of approach, Classical Mechanics will be a very useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.Contents ...