منابع مشابه
Some Aspects of Modality in Analytical Mechanics
I commemorate David Lewis by describing some of the modal involvements of analytical mechanics. I first review the elementary aspects of the Lagrangian, Hamiltonian and Hamilton-Jacobi approaches. I then discuss two modal involvements; both are related to Lewis’ work on modality, especially on counterfactuals. The first is the way Hamilton-Jacobi theory uses ensembles, i.e. sets of possible ini...
متن کاملTowards an Analytical Mechanics of Dissipative Materials
A Lagrangian-Hamiltonian variational formulation is proposed for the thermoelasticity of heat conductors and its generalization to anelasticity described by means of internal-state variablesby using a gauge-theoretical technique (introduction of an additional variable of state the gradient of thermacy that renders the system apparently Hamiltonian). Projecting the equations resulting from the E...
متن کاملSome Aspects of Modality in Analytical Mechanics
This paper discusses some of the modal involvements of analytical mechanics. I rst review the elementary aspects of the Lagrangian, Hamiltonian and Hamilton-Jacobi approaches. I then discuss two modal involvements; both are related to David Lewis' work on modality, especially on counterfactuals. The rst is the way Hamilton-Jacobi theory uses ensembles, i.e. sets of possible initial conditions. ...
متن کاملAnalytical Mechanics of Chemical Reactions . IV . Classical Mechanics of Reactions in Two Dimensions
The natural collision coordinates of Part III are used to treat the analytical mechanics of chemical reactions, AB+C->A+BC. Other than in Part II, the classical analytical mechanics of chemical reactions on a smooth potential surface have not been explored previously in the literature. A Hamilton-Jacobi formalism is used, apparently for the first time in calculating a reaction rate. The "vibrat...
متن کاملAnalytical Mechanics and Almost Vibrationally-Adiabatic Chemical Reactions
Co-ordinates and " vibrationally-adiabatic " approximations are described for reactions in three dimensions. Some reactions may demonstrate a fairly strict adiabaticityfor certain degrees of freedom and a statistical adiabaticity for others. Some will simply be strongly vibrationally-nonadiabatic. Several topics in kinetics are considered from the viewpoint of vibrational-adiabaticity or mild n...
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ژورنال
عنوان ژورنال: Nature
سال: 1890
ISSN: 0028-0836,1476-4687
DOI: 10.1038/042585a0